pir^2=199 eching

$$\pi r ^ { 2 } = 199$$

r uchun yechish

$$r=\sqrt{\frac{199}{\pi }}\approx 7,958873498$$

$$r=-\sqrt{\frac{199}{\pi }}\approx -7,958873498$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini \pi ga bo‘ling.

$$\frac{\pi r^{2}}{\pi }=\frac{199}{\pi }$$

\pi ga bo'lish \pi ga ko'paytirishni bekor qiladi.

$$r^{2}=\frac{199}{\pi }$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$r=\frac{199}{\sqrt{199\pi }} r=-\frac{199}{\sqrt{199\pi }}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 199 ni ayirish.

$$\pi r^{2}-199=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} \pi ni a, 0 ni b va -199 ni c bilan almashtiring.

$$r=\frac{0±\sqrt{0^{2}-4\pi \left(-199\right)}}{2\pi }$$

0 kvadratini chiqarish.

$$r=\frac{0±\sqrt{-4\pi \left(-199\right)}}{2\pi }$$

-4 ni \pi marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{\left(-4\pi \right)\left(-199\right)}}{2\pi }$$

-4\pi ni -199 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{796\pi }}{2\pi }$$

796\pi ning kvadrat ildizini chiqarish.

$$r=\frac{0±2\sqrt{199\pi }}{2\pi }$$

r=\frac{0±2\sqrt{199\pi }}{2\pi } tenglamasini yeching, bunda ± musbat.

$$r=\frac{199}{\sqrt{199\pi }}$$

r=\frac{0±2\sqrt{199\pi }}{2\pi } tenglamasini yeching, bunda ± manfiy.

$$r=-\frac{199}{\sqrt{199\pi }}$$

Tenglama yechildi.

$$r=\frac{199}{\sqrt{199\pi }} r=-\frac{199}{\sqrt{199\pi }}$$