-x^2=-9 eching

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

x uchun yechish

$$x=3$$

$$x=-3$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini -1 ga bo‘ling.

$$x^{2}=\frac{-9}{-1}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-9}{-1} kasrini 9 ga soddalashtirish mumkin.

$$x^{2}=9$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=3 x=-3$$

Kvadrat tenglamalaridan foydalanish qoidalari

9 ni ikki tarafga qo’shing.

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

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 9 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)\times 9}}{2\left(-1\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-1\right)\times 9}}{2\left(-1\right)}$$

-4 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4\times 9}}{2\left(-1\right)}$$

4 ni 9 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{36}}{2\left(-1\right)}$$

36 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±6}{-2}$$

x=\frac{0±6}{-2} tenglamasini yeching, bunda ± musbat. 6 ni -2 ga bo'lish.

$$x=-3$$

x=\frac{0±6}{-2} tenglamasini yeching, bunda ± manfiy. -6 ni -2 ga bo'lish.

$$x=3$$

Tenglama yechildi.

$$x=-3 x=3$$