left(05268-xright)left(00268-xright)/09732+x=72*10^-4 eching

$$\frac{ \left( 05268-x \right) \left( 00268-x \right) }{ 09732+x } = 72 \times { 10 }^{ -4 }$$

x uchun yechish

$$x=\frac{9}{1250}=0,0072$$

Faktorlash qadamlari

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

$$\left(0\times 5268-x\right)\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

0 hosil qilish uchun 0 va 5268 ni ko'paytirish.

$$\left(0-x\right)\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-x\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

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

$$-x\left(0\times 268-x\right)=72\times 10^{-4}x$$

0 hosil qilish uchun 0 va 268 ni ko'paytirish.

$$-x\left(0-x\right)=72\times 10^{-4}x$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-x\left(-1\right)x=72\times 10^{-4}x$$

1 hosil qilish uchun -1 va -1 ni ko'paytirish.

$$xx=72\times 10^{-4}x$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}=72\times 10^{-4}x$$

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$x^{2}=72\times \frac{1}{10000}x$$

\frac{9}{1250} hosil qilish uchun 72 va \frac{1}{10000} ni ko'paytirish.

$$x^{2}=\frac{9}{1250}x$$

Ikkala tarafdan \frac{9}{1250}x ni ayirish.

$$x^{2}-\frac{9}{1250}x=0$$

x omili.

$$x\left(x-\frac{9}{1250}\right)=0$$

Tenglamani yechish uchun x=0 va x-\frac{9}{1250}=0 ni yeching.

$$x=0 x=\frac{9}{1250}$$

x qiymati 0 teng bo‘lmaydi.

$$x=\frac{9}{1250}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$\left(0\times 5268-x\right)\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

0 hosil qilish uchun 0 va 5268 ni ko'paytirish.

$$\left(0-x\right)\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-x\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

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

$$-x\left(0\times 268-x\right)=72\times 10^{-4}x$$

0 hosil qilish uchun 0 va 268 ni ko'paytirish.

$$-x\left(0-x\right)=72\times 10^{-4}x$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-x\left(-1\right)x=72\times 10^{-4}x$$

1 hosil qilish uchun -1 va -1 ni ko'paytirish.

$$xx=72\times 10^{-4}x$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}=72\times 10^{-4}x$$

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$x^{2}=72\times \frac{1}{10000}x$$

\frac{9}{1250} hosil qilish uchun 72 va \frac{1}{10000} ni ko'paytirish.

$$x^{2}=\frac{9}{1250}x$$

Ikkala tarafdan \frac{9}{1250}x ni ayirish.

$$x^{2}-\frac{9}{1250}x=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, -\frac{9}{1250} ni b va 0 ni c bilan almashtiring.

$$x=\frac{-\left(-\frac{9}{1250}\right)±\sqrt{\left(-\frac{9}{1250}\right)^{2}}}{2}$$

\left(-\frac{9}{1250}\right)^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-\frac{9}{1250}\right)±\frac{9}{1250}}{2}$$

-\frac{9}{1250} ning teskarisi \frac{9}{1250} ga teng.

$$x=\frac{\frac{9}{1250}±\frac{9}{1250}}{2}$$

x=\frac{\frac{9}{1250}±\frac{9}{1250}}{2} tenglamasini yeching, bunda ± musbat. Umumiy maxrajni topib va hisoblovchini qo'shish orqali \frac{9}{1250} ni \frac{9}{1250} ga qo'shing. So'ngra agar imkoni bo'lsa kasrni eng kam shartga qisqartiring.

$$x=\frac{\frac{9}{625}}{2}$$

\frac{9}{625} ni 2 ga bo'lish.

$$x=\frac{9}{1250}$$

x=\frac{\frac{9}{1250}±\frac{9}{1250}}{2} tenglamasini yeching, bunda ± manfiy. Umumiy maxrajni topib va suratlarni ayirib \frac{9}{1250} ni \frac{9}{1250} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$x=\frac{0}{2}$$

0 ni 2 ga bo'lish.

$$x=0$$

Tenglama yechildi.

$$x=\frac{9}{1250} x=0$$

x qiymati 0 teng bo‘lmaydi.

$$x=\frac{9}{1250}$$

Kvadratni yakunlash bo'yicha qadamlar

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

$$\left(0\times 5268-x\right)\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

0 hosil qilish uchun 0 va 5268 ni ko'paytirish.

$$\left(0-x\right)\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-x\left(0\times 0\times 268-x\right)=72\times 10^{-4}x$$

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

$$-x\left(0\times 268-x\right)=72\times 10^{-4}x$$

0 hosil qilish uchun 0 va 268 ni ko'paytirish.

$$-x\left(0-x\right)=72\times 10^{-4}x$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-x\left(-1\right)x=72\times 10^{-4}x$$

1 hosil qilish uchun -1 va -1 ni ko'paytirish.

$$xx=72\times 10^{-4}x$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}=72\times 10^{-4}x$$

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$x^{2}=72\times \frac{1}{10000}x$$

\frac{9}{1250} hosil qilish uchun 72 va \frac{1}{10000} ni ko'paytirish.

$$x^{2}=\frac{9}{1250}x$$

Ikkala tarafdan \frac{9}{1250}x ni ayirish.

$$x^{2}-\frac{9}{1250}x=0$$

-\frac{9}{1250} ni bo‘lish, x shartining koeffitsienti, 2 ga -\frac{9}{2500} olish uchun. Keyin, -\frac{9}{2500} ning kvadratini tenglamaning ikkala tarafiga qo‘shing. Ushbu qadam tenglamaning chap qismini mukammal kvadrat sifatida hosil qiladi.

$$x^{2}-\frac{9}{1250}x+\left(-\frac{9}{2500}\right)^{2}=\left(-\frac{9}{2500}\right)^{2}$$

Kasrning ham suratini, ham maxrajini kvadratga ko'paytirib -\frac{9}{2500} kvadratini chiqarish.

$$x^{2}-\frac{9}{1250}x+\frac{81}{6250000}=\frac{81}{6250000}$$

x^{2}-\frac{9}{1250}x+\frac{81}{6250000} omili. Odatda, x^{2}+bx+c mukammal kvadrat bo'lsa, u doimo \left(x+\frac{b}{2}\right)^{2} omil sifatida bo'lishi mumkin.

$$\left(x-\frac{9}{2500}\right)^{2}=\frac{81}{6250000}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$\sqrt{\left(x-\frac{9}{2500}\right)^{2}}=\sqrt{\frac{81}{6250000}}$$

Qisqartirish.

$$x-\frac{9}{2500}=\frac{9}{2500} x-\frac{9}{2500}=-\frac{9}{2500}$$

\frac{9}{2500} ni tenglamaning ikkala tarafiga qo'shish.

$$x=\frac{9}{1250} x=0$$

x qiymati 0 teng bo‘lmaydi.

$$x=\frac{9}{1250}$$