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3x^{2}=4
3x^{2} ni olish uchun 4x^{2} va -x^{2} ni birlashtirish.
x^{2}=\frac{4}{3}
Ikki tarafini 3 ga bo‘ling.
x=\frac{2\sqrt{3}}{3} x=-\frac{2\sqrt{3}}{3}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
3x^{2}=4
3x^{2} ni olish uchun 4x^{2} va -x^{2} ni birlashtirish.
3x^{2}-4=0
Ikkala tarafdan 4 ni ayirish.
x=\frac{0±\sqrt{0^{2}-4\times 3\left(-4\right)}}{2\times 3}
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{-4\times 3\left(-4\right)}}{2\times 3}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{-12\left(-4\right)}}{2\times 3}
-4 ni 3 marotabaga ko'paytirish.
x=\frac{0±\sqrt{48}}{2\times 3}
-12 ni -4 marotabaga ko'paytirish.
x=\frac{0±4\sqrt{3}}{2\times 3}
48 ning kvadrat ildizini chiqarish.
x=\frac{0±4\sqrt{3}}{6}
2 ni 3 marotabaga ko'paytirish.
x=\frac{2\sqrt{3}}{3}
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} x=-\frac{2\sqrt{3}}{3}
Tenglama yechildi.