x^2=-1/4 eching

$$x ^ { 2 } = - \frac { 1 } { 4 }$$

x uchun yechish (complex solution)

$$x=-\frac{1}{2}i=-0,5i$$

$$x=\frac{1}{2}i=0,5i$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglama yechildi.

$$x=\frac{1}{2}i x=-\frac{1}{2}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

\frac{1}{4} ni ikki tarafga qo’shing.

$$x^{2}+\frac{1}{4}=0$$

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 \frac{1}{4} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{1}{4}}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times \frac{1}{4}}}{2}$$

-4 ni \frac{1}{4} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-1}}{2}$$

-1 ning kvadrat ildizini chiqarish.

$$x=\frac{0±i}{2}$$

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

$$x=\frac{1}{2}i$$

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

$$x=-\frac{1}{2}i$$

Tenglama yechildi.

$$x=\frac{1}{2}i x=-\frac{1}{2}i$$