4x^2=108 eching

$$4 x ^ { 2 } = 108$$

x uchun yechish

$$x=3\sqrt{3}\approx 5,196152423$$

$$x=-3\sqrt{3}\approx -5,196152423$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{108}{4}$$

27 ni olish uchun 108 ni 4 ga bo‘ling.

$$x^{2}=27$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{108}{4}$$

27 ni olish uchun 108 ni 4 ga bo‘ling.

$$x^{2}=27$$

Ikkala tarafdan 27 ni ayirish.

$$x^{2}-27=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -27 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-27\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-27\right)}}{2}$$

-4 ni -27 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{108}}{2}$$

108 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6\sqrt{3}}{2}$$

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

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

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

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

Tenglama yechildi.

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