5(x+15)^2-7=0 eching

$$5 ( x + 15 ) ^ { 2 } - 7 = 0$$

x uchun yechish

$$x=\frac{\sqrt{35}}{5}-15\approx -13,816784043$$

$$x=-\frac{\sqrt{35}}{5}-15\approx -16,183215957$$

Kvadrat ildizini topish bo'yicha qadamlar

7 ni tenglamaning ikkala tarafiga qo'shish.

$$5\left(x+15\right)^{2}-7+7=7$$

O‘zidan 7 ayirilsa 0 qoladi.

$$5\left(x+15\right)^{2}=7$$

Ikki tarafini 5 ga bo‘ling.

$$\frac{5\left(x+15\right)^{2}}{5}=\frac{7}{5}$$

5 ga bo'lish 5 ga ko'paytirishni bekor qiladi.

$$\left(x+15\right)^{2}=\frac{7}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x+15=\frac{\sqrt{35}}{5} x+15=-\frac{\sqrt{35}}{5}$$

Tenglamaning ikkala tarafidan 15 ni ayirish.

$$x+15-15=\frac{\sqrt{35}}{5}-15 x+15-15=-\frac{\sqrt{35}}{5}-15$$

O‘zidan 15 ayirilsa 0 qoladi.

$$x=\frac{\sqrt{35}}{5}-15 x=-\frac{\sqrt{35}}{5}-15$$