x^2-1/2=7 eching

$$x ^ { 2 } - \frac { 1 } { 2 } = 7$$

x uchun yechish

$$x = \frac{\sqrt{30}}{2} \approx 2,738612788$$

$$x = -\frac{\sqrt{30}}{2} \approx -2,738612788$$

Kvadrat ildizini topish bo'yicha qadamlar

\frac{1}{2} ni ikki tarafga qo’shing.

$$x^{2}=7+\frac{1}{2}$$

\frac{15}{2} olish uchun 7 va \frac{1}{2}'ni qo'shing.

$$x^{2}=\frac{15}{2}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{30}}{2} x=-\frac{\sqrt{30}}{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 7 ni ayirish.

$$x^{2}-\frac{1}{2}-7=0$$

-\frac{15}{2} olish uchun -\frac{1}{2} dan 7 ni ayirish.

$$x^{2}-\frac{15}{2}=0$$

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{15}{2} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{15}{2}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{15}{2}\right)}}{2}$$

-4 ni -\frac{15}{2} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{30}}{2}$$

x=\frac{0±\sqrt{30}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{30}}{2}$$

x=\frac{0±\sqrt{30}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{30}}{2}$$

Tenglama yechildi.

$$x=\frac{\sqrt{30}}{2} x=-\frac{\sqrt{30}}{2}$$