r^2=512 eching

$$r ^ { 2 } = 512$$

r uchun yechish

$$r=16\sqrt{2}\approx 22,627416998$$

$$r=-16\sqrt{2}\approx -22,627416998$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$r=16\sqrt{2} r=-16\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 512 ni ayirish.

$$r^{2}-512=0$$

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 -512 ni c bilan almashtiring.

$$r=\frac{0±\sqrt{0^{2}-4\left(-512\right)}}{2}$$

0 kvadratini chiqarish.

$$r=\frac{0±\sqrt{-4\left(-512\right)}}{2}$$

-4 ni -512 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{2048}}{2}$$

2048 ning kvadrat ildizini chiqarish.

$$r=\frac{0±32\sqrt{2}}{2}$$

r=\frac{0±32\sqrt{2}}{2} tenglamasini yeching, bunda ± musbat.

$$r=16\sqrt{2}$$

r=\frac{0±32\sqrt{2}}{2} tenglamasini yeching, bunda ± manfiy.

$$r=-16\sqrt{2}$$

Tenglama yechildi.

$$r=16\sqrt{2} r=-16\sqrt{2}$$