10x^2+2=9 eching

$$10 x ^ { 2 } + 2 = 9$$

x uchun yechish

$$x=\frac{\sqrt{70}}{10}\approx 0,836660027$$

$$x=-\frac{\sqrt{70}}{10}\approx -0,836660027$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 2 ni ayirish.

$$10x^{2}=9-2$$

7 olish uchun 9 dan 2 ni ayirish.

$$10x^{2}=7$$

Ikki tarafini 10 ga bo‘ling.

$$x^{2}=\frac{7}{10}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{70}}{10} x=-\frac{\sqrt{70}}{10}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 9 ni ayirish.

$$10x^{2}+2-9=0$$

-7 olish uchun 2 dan 9 ni ayirish.

$$10x^{2}-7=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 10 ni a, 0 ni b va -7 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 10\left(-7\right)}}{2\times 10}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 10\left(-7\right)}}{2\times 10}$$

-4 ni 10 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-40\left(-7\right)}}{2\times 10}$$

-40 ni -7 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{280}}{2\times 10}$$

280 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{70}}{2\times 10}$$

2 ni 10 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{70}}{20}$$

x=\frac{0±2\sqrt{70}}{20} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{70}}{10}$$

x=\frac{0±2\sqrt{70}}{20} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{70}}{10}$$

Tenglama yechildi.

$$x=\frac{\sqrt{70}}{10} x=-\frac{\sqrt{70}}{10}$$