x^2=144+128-2*8sqrt{2}*12*07 eching

$${ x }^{ 2 } =144+128-2 \times 8 \sqrt{ 2 } \times 12 \times 07$$

x uchun yechish

$$x=4\sqrt{17}\approx 16,492422502$$

$$x=-4\sqrt{17}\approx -16,492422502$$

Kvadrat ildizini topish bo'yicha qadamlar

272 olish uchun 144 va 128'ni qo'shing.

$$x^{2}=272-0\times 2\times 7\times 8\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$x^{2}=272-0\times 7\times 8\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 7 ni ko'paytirish.

$$x^{2}=272-0\times 8\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 8 ni ko'paytirish.

$$x^{2}=272-0\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 12 ni ko'paytirish.

$$x^{2}=272-0\sqrt{2}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$x^{2}=272-0$$

272 olish uchun 272 dan 0 ni ayirish.

$$x^{2}=272$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=4\sqrt{17} x=-4\sqrt{17}$$

Kvadrat tenglamalaridan foydalanish qoidalari

272 olish uchun 144 va 128'ni qo'shing.

$$x^{2}=272-0\times 2\times 7\times 8\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$x^{2}=272-0\times 7\times 8\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 7 ni ko'paytirish.

$$x^{2}=272-0\times 8\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 8 ni ko'paytirish.

$$x^{2}=272-0\times 12\sqrt{2}$$

0 hosil qilish uchun 0 va 12 ni ko'paytirish.

$$x^{2}=272-0\sqrt{2}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$x^{2}=272-0$$

272 olish uchun 272 dan 0 ni ayirish.

$$x^{2}=272$$

Ikkala tarafdan 272 ni ayirish.

$$x^{2}-272=0$$

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 -272 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-272\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-272\right)}}{2}$$

-4 ni -272 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{1088}}{2}$$

1088 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{17}}{2}$$

x=\frac{0±8\sqrt{17}}{2} tenglamasini yeching, bunda ± musbat.

$$x=4\sqrt{17}$$

x=\frac{0±8\sqrt{17}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-4\sqrt{17}$$

Tenglama yechildi.

$$x=4\sqrt{17} x=-4\sqrt{17}$$