5(1+x)^2=5832 eching

$$5 ( 1 + x ) ^ { 2 } = 5832$$

x uchun yechish

$$x=\frac{54\sqrt{10}}{5}-1\approx 33,15259873$$

$$x=-\frac{54\sqrt{10}}{5}-1\approx -35,15259873$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 5 ga bo‘ling.

$$\frac{5\left(x+1\right)^{2}}{5}=\frac{5832}{5}$$

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

$$\left(x+1\right)^{2}=\frac{5832}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x+1=\frac{54\sqrt{10}}{5} x+1=-\frac{54\sqrt{10}}{5}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$x+1-1=\frac{54\sqrt{10}}{5}-1 x+1-1=-\frac{54\sqrt{10}}{5}-1$$

O‘zidan 1 ayirilsa 0 qoladi.

$$x=\frac{54\sqrt{10}}{5}-1 x=-\frac{54\sqrt{10}}{5}-1$$