-3x^2+3=0 eching

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

x uchun yechish

$$x=1$$

$$x=-1$$

Kvadrat ildizini topish bo'yicha qadamlar

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.

$$x^{2}=1$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=1 x=-1$$

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.

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

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.

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

0 kvadratini chiqarish.

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

-4 ni -3 marotabaga ko'paytirish.

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

12 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{36}}{2\left(-3\right)}$$

36 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6}{2\left(-3\right)}$$

2 ni -3 marotabaga ko'paytirish.

$$x=\frac{0±6}{-6}$$

x=\frac{0±6}{-6} tenglamasini yeching, bunda ± musbat. 6 ni -6 ga bo'lish.

$$x=-1$$

x=\frac{0±6}{-6} tenglamasini yeching, bunda ± manfiy. -6 ni -6 ga bo'lish.

$$x=1$$

Tenglama yechildi.

$$x=-1 x=1$$