3x^2+5-2=0 eching

$$3 x ^ { 2 } + 5 - 2 = 0$$

x uchun yechish (complex solution)

$$x=-i$$

$$x=i$$

Kvadrat ildizini topish bo'yicha qadamlar

3 olish uchun 5 dan 2 ni ayirish.

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

Ikkala tarafdan 3 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

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

Ikki tarafini 3 ga bo‘ling.

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

-1 ni olish uchun -3 ni 3 ga bo‘ling.

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

Tenglama yechildi.

$$x=i x=-i$$

Kvadrat tenglamalaridan foydalanish qoidalari

3 olish uchun 5 dan 2 ni ayirish.

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

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 3 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni 3 marotabaga ko'paytirish.

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

-12 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-36}}{2\times 3}$$

-36 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6i}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±6i}{6}$$

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

$$x=i$$

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

$$x=-i$$

Tenglama yechildi.

$$x=i x=-i$$