3x^2+1=5 eching

$$3 x ^ { 2 } + 1 = 5$$

x uchun yechish

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

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

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 1 ni ayirish.

$$3x^{2}=5-1$$

4 olish uchun 5 dan 1 ni ayirish.

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

Ikki tarafini 3 ga bo‘ling.

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

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 5 ni ayirish.

$$3x^{2}+1-5=0$$

-4 olish uchun 1 dan 5 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.

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

0 kvadratini chiqarish.

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

-4 ni 3 marotabaga ko'paytirish.

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

-12 ni -4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{48}}{2\times 3}$$

48 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{3}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±4\sqrt{3}}{6}$$

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

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

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

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

Tenglama yechildi.

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