x^2=-1 eching

$${ x }^{ 2 } =-1$$

x uchun yechish (complex solution)

$$x=-i$$

$$x=i$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglama yechildi.

$$x=i x=-i$$

Kvadrat tenglamalaridan foydalanish qoidalari

1 ni ikki tarafga qo’shing.

$$x^{2}+1=0$$

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 1 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4}}{2}$$

-4 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2i}{2}$$

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

$$x=i$$

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

$$x=-i$$

Tenglama yechildi.

$$x=i x=-i$$