3x^2+7=3 eching

$$3 x ^ { 2 } + 7 = 3$$

x uchun yechish (complex solution)

$$x=-\frac{2\sqrt{3}i}{3}\approx -0-1,154700538i$$

$$x=\frac{2\sqrt{3}i}{3}\approx 1,154700538i$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 7 ni ayirish.

$$3x^{2}=3-7$$

-4 olish uchun 3 dan 7 ni ayirish.

$$3x^{2}=-4$$

Ikki tarafini 3 ga bo‘ling.

$$x^{2}=-\frac{4}{3}$$

Tenglama yechildi.

$$x=\frac{2\sqrt{3}i}{3} x=-\frac{2\sqrt{3}i}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 3 ni ayirish.

$$3x^{2}+7-3=0$$

4 olish uchun 7 dan 3 ni ayirish.

$$3x^{2}+4=0$$

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 4 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12\times 4}}{2\times 3}$$

-12 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-48}}{2\times 3}$$

-48 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{3}i}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±4\sqrt{3}i}{6}$$

x=\frac{0±4\sqrt{3}i}{6} tenglamasini yeching, bunda ± musbat.

$$x=\frac{2\sqrt{3}i}{3}$$

x=\frac{0±4\sqrt{3}i}{6} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{2\sqrt{3}i}{3}$$

Tenglama yechildi.

$$x=\frac{2\sqrt{3}i}{3} x=-\frac{2\sqrt{3}i}{3}$$