r^2=7/2 eching

$${ r }^{ 2 } = \frac{ 7 }{ 2 }$$

r uchun yechish

$$r = \frac{\sqrt{14}}{2} \approx 1,870828693$$

$$r = -\frac{\sqrt{14}}{2} \approx -1,870828693$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$r=\frac{\sqrt{14}}{2} r=-\frac{\sqrt{14}}{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan \frac{7}{2} ni ayirish.

$$r^{2}-\frac{7}{2}=0$$

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 -\frac{7}{2} ni c bilan almashtiring.

$$r=\frac{0±\sqrt{0^{2}-4\left(-\frac{7}{2}\right)}}{2}$$

0 kvadratini chiqarish.

$$r=\frac{0±\sqrt{-4\left(-\frac{7}{2}\right)}}{2}$$

-4 ni -\frac{7}{2} marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{14}}{2}$$

r=\frac{0±\sqrt{14}}{2} tenglamasini yeching, bunda ± musbat.

$$r=\frac{\sqrt{14}}{2}$$

r=\frac{0±\sqrt{14}}{2} tenglamasini yeching, bunda ± manfiy.

$$r=-\frac{\sqrt{14}}{2}$$

Tenglama yechildi.

$$r=\frac{\sqrt{14}}{2} r=-\frac{\sqrt{14}}{2}$$