Question

Найдите корень уравнения

Answer 1

$\sqrt{1+x+x^2} +\sqrt{1-x+x^2}=2 \\ \\ 1+x+x^2+1-x+x^2=4 \\ \\ 2x^2+2=4 \\ \\ 2x^2=2 \\ \\ x^2=1$
x₁,₂ = ±√1
x₁,₂ = ±1