2055*(1+x)^2=2382 eching

$$2055 \times ( 1 + x ) ^ { 2 } = 2382$$

x uchun yechish

$$x=\frac{\sqrt{543890}}{685}-1\approx 0,076626253$$

$$x=-\frac{\sqrt{543890}}{685}-1\approx -2,076626253$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 2055 ga bo‘ling.

$$\frac{2055\left(x+1\right)^{2}}{2055}=\frac{2382}{2055}$$

2055 ga bo'lish 2055 ga ko'paytirishni bekor qiladi.

$$\left(x+1\right)^{2}=\frac{2382}{2055}$$

\frac{2382}{2055} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(x+1\right)^{2}=\frac{794}{685}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x+1=\frac{\sqrt{543890}}{685} x+1=-\frac{\sqrt{543890}}{685}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$x+1-1=\frac{\sqrt{543890}}{685}-1 x+1-1=-\frac{\sqrt{543890}}{685}-1$$

O‘zidan 1 ayirilsa 0 qoladi.

$$x=\frac{\sqrt{543890}}{685}-1 x=-\frac{\sqrt{543890}}{685}-1$$