a^2=1/2 eching

$$a ^ { 2 } = \frac { 1 } { 2 }$$

a uchun yechish

$$a=\frac{\sqrt{2}}{2}\approx 0,707106781$$

$$a=-\frac{\sqrt{2}}{2}\approx -0,707106781$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=\frac{\sqrt{2}}{2} a=-\frac{\sqrt{2}}{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan \frac{1}{2} ni ayirish.

$$a^{2}-\frac{1}{2}=0$$

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 -\frac{1}{2} ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{2}\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-\frac{1}{2}\right)}}{2}$$

-4 ni -\frac{1}{2} marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{2}}{2}$$

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

$$a=\frac{\sqrt{2}}{2}$$

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

$$a=-\frac{\sqrt{2}}{2}$$

Tenglama yechildi.

$$a=\frac{\sqrt{2}}{2} a=-\frac{\sqrt{2}}{2}$$