x=32divx eching

$$x=32 \div x$$

x uchun yechish

$$x=4\sqrt{2}\approx 5,656854249$$

$$x=-4\sqrt{2}\approx -5,656854249$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan \frac{32}{x} ni ayirish.

$$x-\frac{32}{x}=0$$

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

$$\frac{xx}{x}-\frac{32}{x}=0$$

\frac{xx}{x} va \frac{32}{x} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{xx-32}{x}=0$$

xx-32 ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}-32}{x}=0$$

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

$$x^{2}-32=0$$

32 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$x^{2}=32$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=4\sqrt{2} x=-4\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan \frac{32}{x} ni ayirish.

$$x-\frac{32}{x}=0$$

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

$$\frac{xx}{x}-\frac{32}{x}=0$$

\frac{xx}{x} va \frac{32}{x} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{xx-32}{x}=0$$

xx-32 ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}-32}{x}=0$$

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

$$x^{2}-32=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -32 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-32\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-32\right)}}{2}$$

-4 ni -32 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{128}}{2}$$

128 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{2}}{2}$$

x=\frac{0±8\sqrt{2}}{2} tenglamasini yeching, bunda ± musbat.

$$x=4\sqrt{2}$$

x=\frac{0±8\sqrt{2}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-4\sqrt{2}$$

Tenglama yechildi.

$$x=4\sqrt{2} x=-4\sqrt{2}$$