Question

Помогите решить уравнение

Answer 1

x^2 + x = 1/4

x^2 + x + 1/4 = 1/4 + 1/4

(x + 1/2)^2 = 1/2

x₁₂ + 1/2 = +- √(1/2) (+-√2/2)

x₁₂ = -1/2 +- √2/2

x₁ = -1/2 - √2/2 = -(1 + √2)/2

x₂ = -1/2 + √2/2 = (√2 - 1)/2