192pi=r^2pi8 eching

$$192 \pi = r ^ { 2 } \pi 8$$

r uchun yechish

$$r=2\sqrt{6}\approx 4,898979486$$

$$r=-2\sqrt{6}\approx -4,898979486$$

Kvadrat ildizini topish bo'yicha qadamlar

\pi ni ikki tarafidan bekor qilish.

$$192=r^{2}\times 8$$

Ikki tarafini 8 ga bo‘ling.

$$\frac{192}{8}=r^{2}$$

24 ni olish uchun 192 ni 8 ga bo‘ling.

$$24=r^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$r^{2}=24$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$r=2\sqrt{6} r=-2\sqrt{6}$$

Kvadrat tenglamalaridan foydalanish qoidalari

\pi ni ikki tarafidan bekor qilish.

$$192=r^{2}\times 8$$

Ikki tarafini 8 ga bo‘ling.

$$\frac{192}{8}=r^{2}$$

24 ni olish uchun 192 ni 8 ga bo‘ling.

$$24=r^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$r^{2}=24$$

Ikkala tarafdan 24 ni ayirish.

$$r^{2}-24=0$$

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 -24 ni c bilan almashtiring.

$$r=\frac{0±\sqrt{0^{2}-4\left(-24\right)}}{2}$$

0 kvadratini chiqarish.

$$r=\frac{0±\sqrt{-4\left(-24\right)}}{2}$$

-4 ni -24 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{96}}{2}$$

96 ning kvadrat ildizini chiqarish.

$$r=\frac{0±4\sqrt{6}}{2}$$

r=\frac{0±4\sqrt{6}}{2} tenglamasini yeching, bunda ± musbat.

$$r=2\sqrt{6}$$

r=\frac{0±4\sqrt{6}}{2} tenglamasini yeching, bunda ± manfiy.

$$r=-2\sqrt{6}$$

Tenglama yechildi.

$$r=2\sqrt{6} r=-2\sqrt{6}$$