x^2=-16 eching

$$x ^ { 2 } = - 16$$

x uchun yechish (complex solution)

$$x=-4i$$

$$x=4i$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglama yechildi.

$$x=4i x=-4i$$

Kvadrat tenglamalaridan foydalanish qoidalari

16 ni ikki tarafga qo’shing.

$$x^{2}+16=0$$

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 16 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 16}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 16}}{2}$$

-4 ni 16 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-64}}{2}$$

-64 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8i}{2}$$

x=\frac{0±8i}{2} tenglamasini yeching, bunda ± musbat.

$$x=4i$$

x=\frac{0±8i}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-4i$$

Tenglama yechildi.

$$x=4i x=-4i$$