3(x+5)^2=60 eching

$$3 ( x + 5 ) ^ { 2 } = 60$$

x uchun yechish

$$x=2\sqrt{5}-5\approx -0,527864045$$

$$x=-2\sqrt{5}-5\approx -9,472135955$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 3 ga bo‘ling.

$$\frac{3\left(x+5\right)^{2}}{3}=\frac{60}{3}$$

3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.

$$\left(x+5\right)^{2}=\frac{60}{3}$$

60 ni 3 ga bo'lish.

$$\left(x+5\right)^{2}=20$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x+5=2\sqrt{5} x+5=-2\sqrt{5}$$

Tenglamaning ikkala tarafidan 5 ni ayirish.

$$x+5-5=2\sqrt{5}-5 x+5-5=-2\sqrt{5}-5$$

O‘zidan 5 ayirilsa 0 qoladi.

$$x=2\sqrt{5}-5 x=-2\sqrt{5}-5$$