a^2=384 eching

$$a ^ { 2 } = 384$$

a uchun yechish

$$a=8\sqrt{6}\approx 19,595917942$$

$$a=-8\sqrt{6}\approx -19,595917942$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=8\sqrt{6} a=-8\sqrt{6}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 384 ni ayirish.

$$a^{2}-384=0$$

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 -384 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-384\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-384\right)}}{2}$$

-4 ni -384 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{1536}}{2}$$

1536 ning kvadrat ildizini chiqarish.

$$a=\frac{0±16\sqrt{6}}{2}$$

a=\frac{0±16\sqrt{6}}{2} tenglamasini yeching, bunda ± musbat.

$$a=8\sqrt{6}$$

a=\frac{0±16\sqrt{6}}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-8\sqrt{6}$$

Tenglama yechildi.

$$a=8\sqrt{6} a=-8\sqrt{6}$$