314*x^2=81 eching

$$314 \times x ^ { 2 } = 81$$

x uchun yechish

$$x=\frac{9\sqrt{314}}{314}\approx 0,507899383$$

$$x=-\frac{9\sqrt{314}}{314}\approx -0,507899383$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 314 ga bo‘ling.

$$x^{2}=\frac{81}{314}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{9\sqrt{314}}{314} x=-\frac{9\sqrt{314}}{314}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 314 ga bo‘ling.

$$x^{2}=\frac{81}{314}$$

Ikkala tarafdan \frac{81}{314} ni ayirish.

$$x^{2}-\frac{81}{314}=0$$

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{81}{314} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{81}{314}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{81}{314}\right)}}{2}$$

-4 ni -\frac{81}{314} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{162}{157}}}{2}$$

\frac{162}{157} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{9\sqrt{314}}{157}}{2}$$

x=\frac{0±\frac{9\sqrt{314}}{157}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{9\sqrt{314}}{314}$$

x=\frac{0±\frac{9\sqrt{314}}{157}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{9\sqrt{314}}{314}$$

Tenglama yechildi.

$$x=\frac{9\sqrt{314}}{314} x=-\frac{9\sqrt{314}}{314}$$