(a)^2=12*15 eching

$$( a ) ^ { 2 } = 12 \cdot 15$$

a uchun yechish

$$a=6\sqrt{5}\approx 13,416407865$$

$$a=-6\sqrt{5}\approx -13,416407865$$

Kvadrat ildizini topish bo'yicha qadamlar

180 hosil qilish uchun 12 va 15 ni ko'paytirish.

$$a^{2}=180$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=6\sqrt{5} a=-6\sqrt{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

180 hosil qilish uchun 12 va 15 ni ko'paytirish.

$$a^{2}=180$$

Ikkala tarafdan 180 ni ayirish.

$$a^{2}-180=0$$

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 -180 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-180\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-180\right)}}{2}$$

-4 ni -180 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{720}}{2}$$

720 ning kvadrat ildizini chiqarish.

$$a=\frac{0±12\sqrt{5}}{2}$$

a=\frac{0±12\sqrt{5}}{2} tenglamasini yeching, bunda ± musbat.

$$a=6\sqrt{5}$$

a=\frac{0±12\sqrt{5}}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-6\sqrt{5}$$

Tenglama yechildi.

$$a=6\sqrt{5} a=-6\sqrt{5}$$