7x^2=-48 eching

$$7 x ^ { 2 } = - 48$$

x uchun yechish (complex solution)

$$x=-\frac{4\sqrt{21}i}{7}\approx -0-2,618614683i$$

$$x=\frac{4\sqrt{21}i}{7}\approx 2,618614683i$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 7 ga bo‘ling.

$$x^{2}=-\frac{48}{7}$$

Tenglama yechildi.

$$x=\frac{4\sqrt{21}i}{7} x=-\frac{4\sqrt{21}i}{7}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 7 ga bo‘ling.

$$x^{2}=-\frac{48}{7}$$

\frac{48}{7} ni ikki tarafga qo’shing.

$$x^{2}+\frac{48}{7}=0$$

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{48}{7} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{48}{7}}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times \frac{48}{7}}}{2}$$

-4 ni \frac{48}{7} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-\frac{192}{7}}}{2}$$

-\frac{192}{7} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{8\sqrt{21}i}{7}}{2}$$

x=\frac{0±\frac{8\sqrt{21}i}{7}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{4\sqrt{21}i}{7}$$

x=\frac{0±\frac{8\sqrt{21}i}{7}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{4\sqrt{21}i}{7}$$

Tenglama yechildi.

$$x=\frac{4\sqrt{21}i}{7} x=-\frac{4\sqrt{21}i}{7}$$