x^2*100=10 eching

$$x ^ { 2 } \times 100 = 10$$

x uchun yechish

$$x=\frac{\sqrt{10}}{10}\approx 0,316227766$$

$$x=-\frac{\sqrt{10}}{10}\approx -0,316227766$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 100 ga bo‘ling.

$$x^{2}=\frac{10}{100}$$

\frac{10}{100} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{1}{10}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{10}}{10} x=-\frac{\sqrt{10}}{10}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 100 ga bo‘ling.

$$x^{2}=\frac{10}{100}$$

\frac{10}{100} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{1}{10}$$

Ikkala tarafdan \frac{1}{10} ni ayirish.

$$x^{2}-\frac{1}{10}=0$$

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{1}{10} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{10}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{10}\right)}}{2}$$

-4 ni -\frac{1}{10} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{2}{5}}}{2}$$

\frac{2}{5} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{\sqrt{10}}{5}}{2}$$

x=\frac{0±\frac{\sqrt{10}}{5}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{10}}{10}$$

x=\frac{0±\frac{\sqrt{10}}{5}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{10}}{10}$$

Tenglama yechildi.

$$x=\frac{\sqrt{10}}{10} x=-\frac{\sqrt{10}}{10}$$