49x^2=30 eching

$$49 x ^ { 2 } = 30$$

x uchun yechish

$$x=\frac{\sqrt{30}}{7}\approx 0,782460796$$

$$x=-\frac{\sqrt{30}}{7}\approx -0,782460796$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 49 ga bo‘ling.

$$x^{2}=\frac{30}{49}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{30}}{7} x=-\frac{\sqrt{30}}{7}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 49 ga bo‘ling.

$$x^{2}=\frac{30}{49}$$

Ikkala tarafdan \frac{30}{49} ni ayirish.

$$x^{2}-\frac{30}{49}=0$$

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{30}{49} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{30}{49}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{30}{49}\right)}}{2}$$

-4 ni -\frac{30}{49} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{120}{49}}}{2}$$

\frac{120}{49} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{2\sqrt{30}}{7}}{2}$$

x=\frac{0±\frac{2\sqrt{30}}{7}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{30}}{7}$$

x=\frac{0±\frac{2\sqrt{30}}{7}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{30}}{7}$$

Tenglama yechildi.

$$x=\frac{\sqrt{30}}{7} x=-\frac{\sqrt{30}}{7}$$