x^2-2=0 eching

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

x uchun yechish

$$x=\sqrt{2}\approx 1,414213562$$

$$x=-\sqrt{2}\approx -1,414213562$$

Kvadrat ildizini topish bo'yicha qadamlar

2 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$x^{2}=2$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{2} x=-\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

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

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 -2 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni -2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{8}}{2}$$

8 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{2}}{2}$$

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

$$x=\sqrt{2}$$

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

$$x=-\sqrt{2}$$

Tenglama yechildi.

$$x=\sqrt{2} x=-\sqrt{2}$$