x^2+63=15 eching

$$x ^ { 2 } + 63 = 15$$

x uchun yechish (complex solution)

$$x=-4\sqrt{3}i\approx -0-6,92820323i$$

$$x=4\sqrt{3}i\approx 6,92820323i$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 63 ni ayirish.

$$x^{2}=15-63$$

-48 olish uchun 15 dan 63 ni ayirish.

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

Tenglama yechildi.

$$x=4\sqrt{3}i x=-4\sqrt{3}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 15 ni ayirish.

$$x^{2}+63-15=0$$

48 olish uchun 63 dan 15 ni ayirish.

$$x^{2}+48=0$$

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 48 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 48}}{2}$$

-4 ni 48 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-192}}{2}$$

-192 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{3}i}{2}$$

x=\frac{0±8\sqrt{3}i}{2} tenglamasini yeching, bunda ± musbat.

$$x=4\sqrt{3}i$$

x=\frac{0±8\sqrt{3}i}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-4\sqrt{3}i$$

Tenglama yechildi.

$$x=4\sqrt{3}i x=-4\sqrt{3}i$$