a^2=1152 eching

$$a ^ { 2 } = 1152$$

a uchun yechish

$$a=24\sqrt{2}\approx 33,941125497$$

$$a=-24\sqrt{2}\approx -33,941125497$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=24\sqrt{2} a=-24\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 1152 ni ayirish.

$$a^{2}-1152=0$$

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 -1152 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-1152\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-1152\right)}}{2}$$

-4 ni -1152 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{4608}}{2}$$

4608 ning kvadrat ildizini chiqarish.

$$a=\frac{0±48\sqrt{2}}{2}$$

a=\frac{0±48\sqrt{2}}{2} tenglamasini yeching, bunda ± musbat.

$$a=24\sqrt{2}$$

a=\frac{0±48\sqrt{2}}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-24\sqrt{2}$$

Tenglama yechildi.

$$a=24\sqrt{2} a=-24\sqrt{2}$$