x^2*5=36 eching

$${ x }^{ 2 } \times 5=36$$

x uchun yechish

$$x = \frac{6 \sqrt{5}}{5} \approx 2,683281573$$

$$x = -\frac{6 \sqrt{5}}{5} \approx -2,683281573$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 5 ga bo‘ling.

$$x^{2}=\frac{36}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{6\sqrt{5}}{5} x=-\frac{6\sqrt{5}}{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 5 ga bo‘ling.

$$x^{2}=\frac{36}{5}$$

Ikkala tarafdan \frac{36}{5} ni ayirish.

$$x^{2}-\frac{36}{5}=0$$

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{36}{5} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{36}{5}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{36}{5}\right)}}{2}$$

-4 ni -\frac{36}{5} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{144}{5}}}{2}$$

\frac{144}{5} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{12\sqrt{5}}{5}}{2}$$

x=\frac{0±\frac{12\sqrt{5}}{5}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{6\sqrt{5}}{5}$$

x=\frac{0±\frac{12\sqrt{5}}{5}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{6\sqrt{5}}{5}$$

Tenglama yechildi.

$$x=\frac{6\sqrt{5}}{5} x=-\frac{6\sqrt{5}}{5}$$