3x^2+48=0 eching

$$3 { x }^{ 2 } +48=0$$

x uchun yechish (complex solution)

$$x=-4i$$

$$x=4i$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 48 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$3x^{2}=-48$$

Ikki tarafini 3 ga bo‘ling.

$$x^{2}=\frac{-48}{3}$$

-16 ni olish uchun -48 ni 3 ga bo‘ling.

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

Tenglama yechildi.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$3x^{2}+48=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3 ni a, 0 ni b va 48 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\times 48}}{2\times 3}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 3\times 48}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12\times 48}}{2\times 3}$$

-12 ni 48 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-576}}{2\times 3}$$

-576 ning kvadrat ildizini chiqarish.

$$x=\frac{0±24i}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±24i}{6}$$

x=\frac{0±24i}{6} tenglamasini yeching, bunda ± musbat.

$$x=4i$$

x=\frac{0±24i}{6} tenglamasini yeching, bunda ± manfiy.

$$x=-4i$$

Tenglama yechildi.

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