X^2=31 eching

$$X ^ { 2 } = 31$$

X uchun yechish

$$X=\sqrt{31}\approx 5,567764363$$

$$X=-\sqrt{31}\approx -5,567764363$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$X=\sqrt{31} X=-\sqrt{31}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 31 ni ayirish.

$$X^{2}-31=0$$

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 -31 ni c bilan almashtiring.

$$X=\frac{0±\sqrt{0^{2}-4\left(-31\right)}}{2}$$

0 kvadratini chiqarish.

$$X=\frac{0±\sqrt{-4\left(-31\right)}}{2}$$

-4 ni -31 marotabaga ko'paytirish.

$$X=\frac{0±\sqrt{124}}{2}$$

124 ning kvadrat ildizini chiqarish.

$$X=\frac{0±2\sqrt{31}}{2}$$

X=\frac{0±2\sqrt{31}}{2} tenglamasini yeching, bunda ± musbat.

$$X=\sqrt{31}$$

X=\frac{0±2\sqrt{31}}{2} tenglamasini yeching, bunda ± manfiy.

$$X=-\sqrt{31}$$

Tenglama yechildi.

$$X=\sqrt{31} X=-\sqrt{31}$$