-3x^2+21=13 eching

$$- 3 x ^ { 2 } + 21 = 13$$

x uchun yechish

$$x = \frac{2 \sqrt{6}}{3} \approx 1,632993162$$

$$x = -\frac{2 \sqrt{6}}{3} \approx -1,632993162$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 21 ni ayirish.

$$-3x^{2}=13-21$$

-8 olish uchun 13 dan 21 ni ayirish.

$$-3x^{2}=-8$$

Ikki tarafini -3 ga bo‘ling.

$$x^{2}=\frac{-8}{-3}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-8}{-3} kasrini \frac{8}{3} ga soddalashtirish mumkin.

$$x^{2}=\frac{8}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{2\sqrt{6}}{3} x=-\frac{2\sqrt{6}}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 13 ni ayirish.

$$-3x^{2}+21-13=0$$

8 olish uchun 21 dan 13 ni ayirish.

$$-3x^{2}+8=0$$

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 8 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3\right)\times 8}}{2\left(-3\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-3\right)\times 8}}{2\left(-3\right)}$$

-4 ni -3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{12\times 8}}{2\left(-3\right)}$$

12 ni 8 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{96}}{2\left(-3\right)}$$

96 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{6}}{2\left(-3\right)}$$

2 ni -3 marotabaga ko'paytirish.

$$x=\frac{0±4\sqrt{6}}{-6}$$

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

$$x=-\frac{2\sqrt{6}}{3}$$

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

$$x=\frac{2\sqrt{6}}{3}$$

Tenglama yechildi.

$$x=-\frac{2\sqrt{6}}{3} x=\frac{2\sqrt{6}}{3}$$