2(1-3x^2)=0 eching

$$2(1-3 { x }^{ 2 } )=0$$

x uchun yechish

$$x=\frac{\sqrt{3}}{3}\approx 0,577350269$$

$$x=-\frac{\sqrt{3}}{3}\approx -0,577350269$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 2 ga bo‘ling. Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

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

Ikkala tarafdan 1 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

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

Ikki tarafini -3 ga bo‘ling.

$$x^{2}=\frac{-1}{-3}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-1}{-3} kasrini \frac{1}{3} ga soddalashtirish mumkin.

$$x^{2}=\frac{1}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 2 ga bo‘ling. Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

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

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.

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

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 1 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni -3 marotabaga ko'paytirish.

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

12 ning kvadrat ildizini chiqarish.

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

2 ni -3 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{3}}{-6}$$

x=\frac{0±2\sqrt{3}}{-6} tenglamasini yeching, bunda ± musbat.

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

x=\frac{0±2\sqrt{3}}{-6} tenglamasini yeching, bunda ± manfiy.

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

Tenglama yechildi.

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