225*98*1000*12*(1+0576divx)+1000000divx=2000000 eching

$$225 \times 98 \times 1000 \times 12 \times (1+0576 \div x)+1000000 \div x=2000000$$

x uchun yechish

$$x=-\frac{5}{1313}\approx -0,003808073$$

Faktorlash qadamlari

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$225\times 98\times 1000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

22050 hosil qilish uchun 225 va 98 ni ko'paytirish.

$$22050\times 1000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

22050000 hosil qilish uchun 22050 va 1000 ni ko'paytirish.

$$22050000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

264600000 hosil qilish uchun 22050000 va 12 ni ko'paytirish.

$$264600000\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

0 hosil qilish uchun 0 va 576 ni ko'paytirish.

$$264600000\left(1+\frac{0}{x}\right)x+1000000=2000000x$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x}{x} marotabaga ko'paytirish.

$$264600000\left(\frac{x}{x}+\frac{0}{x}\right)x+1000000=2000000x$$

\frac{x}{x} va \frac{0}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$264600000\times \frac{x+0}{x}x+1000000=2000000x$$

x+0 kabi iboralarga o‘xshab birlashtiring.

$$264600000\times \frac{x}{x}x+1000000=2000000x$$

264600000\times \frac{x}{x} ni yagona kasrga aylantiring.

$$\frac{264600000x}{x}x+1000000=2000000x$$

\frac{264600000x}{x}x ni yagona kasrga aylantiring.

$$\frac{264600000xx}{x}+1000000=2000000x$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1000000 ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{264600000xx}{x}+\frac{1000000x}{x}=2000000x$$

\frac{264600000xx}{x} va \frac{1000000x}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{264600000xx+1000000x}{x}=2000000x$$

264600000xx+1000000x ichidagi ko‘paytirishlarni bajaring.

$$\frac{264600000x^{2}+1000000x}{x}=2000000x$$

Ikkala tarafdan 2000000x ni ayirish.

$$\frac{264600000x^{2}+1000000x}{x}-2000000x=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -2000000x ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{264600000x^{2}+1000000x}{x}+\frac{-2000000xx}{x}=0$$

\frac{264600000x^{2}+1000000x}{x} va \frac{-2000000xx}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{264600000x^{2}+1000000x-2000000xx}{x}=0$$

264600000x^{2}+1000000x-2000000xx ichidagi ko‘paytirishlarni bajaring.

$$\frac{264600000x^{2}+1000000x-2000000x^{2}}{x}=0$$

264600000x^{2}+1000000x-2000000x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{262600000x^{2}+1000000x}{x}=0$$

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$262600000x^{2}+1000000x=0$$

x omili.

$$x\left(262600000x+1000000\right)=0$$

Tenglamani yechish uchun x=0 va 262600000x+1000000=0 ni yeching.

$$x=0 x=-\frac{5}{1313}$$

x qiymati 0 teng bo‘lmaydi.

$$x=-\frac{5}{1313}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$225\times 98\times 1000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

22050 hosil qilish uchun 225 va 98 ni ko'paytirish.

$$22050\times 1000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

22050000 hosil qilish uchun 22050 va 1000 ni ko'paytirish.

$$22050000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

264600000 hosil qilish uchun 22050000 va 12 ni ko'paytirish.

$$264600000\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

0 hosil qilish uchun 0 va 576 ni ko'paytirish.

$$264600000\left(1+\frac{0}{x}\right)x+1000000=2000000x$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x}{x} marotabaga ko'paytirish.

$$264600000\left(\frac{x}{x}+\frac{0}{x}\right)x+1000000=2000000x$$

\frac{x}{x} va \frac{0}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$264600000\times \frac{x+0}{x}x+1000000=2000000x$$

x+0 kabi iboralarga o‘xshab birlashtiring.

$$264600000\times \frac{x}{x}x+1000000=2000000x$$

264600000\times \frac{x}{x} ni yagona kasrga aylantiring.

$$\frac{264600000x}{x}x+1000000=2000000x$$

\frac{264600000x}{x}x ni yagona kasrga aylantiring.

$$\frac{264600000xx}{x}+1000000=2000000x$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1000000 ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{264600000xx}{x}+\frac{1000000x}{x}=2000000x$$

\frac{264600000xx}{x} va \frac{1000000x}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{264600000xx+1000000x}{x}=2000000x$$

264600000xx+1000000x ichidagi ko‘paytirishlarni bajaring.

$$\frac{264600000x^{2}+1000000x}{x}=2000000x$$

Ikkala tarafdan 2000000x ni ayirish.

$$\frac{264600000x^{2}+1000000x}{x}-2000000x=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -2000000x ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{264600000x^{2}+1000000x}{x}+\frac{-2000000xx}{x}=0$$

\frac{264600000x^{2}+1000000x}{x} va \frac{-2000000xx}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{264600000x^{2}+1000000x-2000000xx}{x}=0$$

264600000x^{2}+1000000x-2000000xx ichidagi ko‘paytirishlarni bajaring.

$$\frac{264600000x^{2}+1000000x-2000000x^{2}}{x}=0$$

264600000x^{2}+1000000x-2000000x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{262600000x^{2}+1000000x}{x}=0$$

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$262600000x^{2}+1000000x=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 262600000 ni a, 1000000 ni b va 0 ni c bilan almashtiring.

$$x=\frac{-1000000±\sqrt{1000000^{2}}}{2\times 262600000}$$

1000000^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{-1000000±1000000}{2\times 262600000}$$

2 ni 262600000 marotabaga ko'paytirish.

$$x=\frac{-1000000±1000000}{525200000}$$

x=\frac{-1000000±1000000}{525200000} tenglamasini yeching, bunda ± musbat. -1000000 ni 1000000 ga qo'shish.

$$x=\frac{0}{525200000}$$

0 ni 525200000 ga bo'lish.

$$x=0$$

x=\frac{-1000000±1000000}{525200000} tenglamasini yeching, bunda ± manfiy. -1000000 dan 1000000 ni ayirish.

$$x=-\frac{2000000}{525200000}$$

\frac{-2000000}{525200000} ulushini 400000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{5}{1313}$$

Tenglama yechildi.

$$x=0 x=-\frac{5}{1313}$$

x qiymati 0 teng bo‘lmaydi.

$$x=-\frac{5}{1313}$$

Kvadratni yakunlash bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$225\times 98\times 1000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

22050 hosil qilish uchun 225 va 98 ni ko'paytirish.

$$22050\times 1000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

22050000 hosil qilish uchun 22050 va 1000 ni ko'paytirish.

$$22050000\times 12\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

264600000 hosil qilish uchun 22050000 va 12 ni ko'paytirish.

$$264600000\left(1+\frac{0\times 576}{x}\right)x+1000000=2000000x$$

0 hosil qilish uchun 0 va 576 ni ko'paytirish.

$$264600000\left(1+\frac{0}{x}\right)x+1000000=2000000x$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x}{x} marotabaga ko'paytirish.

$$264600000\left(\frac{x}{x}+\frac{0}{x}\right)x+1000000=2000000x$$

\frac{x}{x} va \frac{0}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$264600000\times \frac{x+0}{x}x+1000000=2000000x$$

x+0 kabi iboralarga o‘xshab birlashtiring.

$$264600000\times \frac{x}{x}x+1000000=2000000x$$

264600000\times \frac{x}{x} ni yagona kasrga aylantiring.

$$\frac{264600000x}{x}x+1000000=2000000x$$

\frac{264600000x}{x}x ni yagona kasrga aylantiring.

$$\frac{264600000xx}{x}+1000000=2000000x$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1000000 ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{264600000xx}{x}+\frac{1000000x}{x}=2000000x$$

\frac{264600000xx}{x} va \frac{1000000x}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{264600000xx+1000000x}{x}=2000000x$$

264600000xx+1000000x ichidagi ko‘paytirishlarni bajaring.

$$\frac{264600000x^{2}+1000000x}{x}=2000000x$$

Ikkala tarafdan 2000000x ni ayirish.

$$\frac{264600000x^{2}+1000000x}{x}-2000000x=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -2000000x ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{264600000x^{2}+1000000x}{x}+\frac{-2000000xx}{x}=0$$

\frac{264600000x^{2}+1000000x}{x} va \frac{-2000000xx}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{264600000x^{2}+1000000x-2000000xx}{x}=0$$

264600000x^{2}+1000000x-2000000xx ichidagi ko‘paytirishlarni bajaring.

$$\frac{264600000x^{2}+1000000x-2000000x^{2}}{x}=0$$

264600000x^{2}+1000000x-2000000x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{262600000x^{2}+1000000x}{x}=0$$

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$262600000x^{2}+1000000x=0$$

Ikki tarafini 262600000 ga bo‘ling.

$$\frac{262600000x^{2}+1000000x}{262600000}=\frac{0}{262600000}$$

262600000 ga bo'lish 262600000 ga ko'paytirishni bekor qiladi.

$$x^{2}+\frac{1000000}{262600000}x=\frac{0}{262600000}$$

\frac{1000000}{262600000} ulushini 200000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}+\frac{5}{1313}x=\frac{0}{262600000}$$

0 ni 262600000 ga bo'lish.

$$x^{2}+\frac{5}{1313}x=0$$

\frac{5}{1313} ni bo‘lish, x shartining koeffitsienti, 2 ga \frac{5}{2626} olish uchun. Keyin, \frac{5}{2626} ning kvadratini tenglamaning ikkala tarafiga qo‘shing. Ushbu qadam tenglamaning chap qismini mukammal kvadrat sifatida hosil qiladi.

$$x^{2}+\frac{5}{1313}x+\left(\frac{5}{2626}\right)^{2}=\left(\frac{5}{2626}\right)^{2}$$

Kasrning ham suratini, ham maxrajini kvadratga ko'paytirib \frac{5}{2626} kvadratini chiqarish.

$$x^{2}+\frac{5}{1313}x+\frac{25}{6895876}=\frac{25}{6895876}$$

x^{2}+\frac{5}{1313}x+\frac{25}{6895876} omili. Odatda, x^{2}+bx+c mukammal kvadrat bo'lsa, u doimo \left(x+\frac{b}{2}\right)^{2} omil sifatida bo'lishi mumkin.

$$\left(x+\frac{5}{2626}\right)^{2}=\frac{25}{6895876}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$\sqrt{\left(x+\frac{5}{2626}\right)^{2}}=\sqrt{\frac{25}{6895876}}$$

Qisqartirish.

$$x+\frac{5}{2626}=\frac{5}{2626} x+\frac{5}{2626}=-\frac{5}{2626}$$

Tenglamaning ikkala tarafidan \frac{5}{2626} ni ayirish.

$$x=0 x=-\frac{5}{1313}$$

x qiymati 0 teng bo‘lmaydi.

$$x=-\frac{5}{1313}$$