105r^230=7065 eching

$$105 r ^ { 2 } 30 = 7065$$

r uchun yechish

$$r = \frac{\sqrt{10990}}{70} \approx 1,497617155$$

$$r = -\frac{\sqrt{10990}}{70} \approx -1,497617155$$

Kvadrat ildizini topish bo'yicha qadamlar

3150 hosil qilish uchun 105 va 30 ni ko'paytirish.

$$3150r^{2}=7065$$

Ikki tarafini 3150 ga bo‘ling.

$$r^{2}=\frac{7065}{3150}$$

\frac{7065}{3150} ulushini 45 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$r^{2}=\frac{157}{70}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$r=\frac{\sqrt{10990}}{70} r=-\frac{\sqrt{10990}}{70}$$

Kvadrat tenglamalaridan foydalanish qoidalari

3150 hosil qilish uchun 105 va 30 ni ko'paytirish.

$$3150r^{2}=7065$$

Ikkala tarafdan 7065 ni ayirish.

$$3150r^{2}-7065=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3150 ni a, 0 ni b va -7065 ni c bilan almashtiring.

$$r=\frac{0±\sqrt{0^{2}-4\times 3150\left(-7065\right)}}{2\times 3150}$$

0 kvadratini chiqarish.

$$r=\frac{0±\sqrt{-4\times 3150\left(-7065\right)}}{2\times 3150}$$

-4 ni 3150 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{-12600\left(-7065\right)}}{2\times 3150}$$

-12600 ni -7065 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{89019000}}{2\times 3150}$$

89019000 ning kvadrat ildizini chiqarish.

$$r=\frac{0±90\sqrt{10990}}{2\times 3150}$$

2 ni 3150 marotabaga ko'paytirish.

$$r=\frac{0±90\sqrt{10990}}{6300}$$

r=\frac{0±90\sqrt{10990}}{6300} tenglamasini yeching, bunda ± musbat.

$$r=\frac{\sqrt{10990}}{70}$$

r=\frac{0±90\sqrt{10990}}{6300} tenglamasini yeching, bunda ± manfiy.

$$r=-\frac{\sqrt{10990}}{70}$$

Tenglama yechildi.

$$r=\frac{\sqrt{10990}}{70} r=-\frac{\sqrt{10990}}{70}$$