Question

Решите уравнение (х^2– 2)^2–(х^2–2)−6=0.

Answer 1

$x^{4} -4 x^{2} +4- x^{2} +2-6=0 \\ \\ x^{4} -5 x^{2} =0 \\ \\ x^{2} ( x^{2} -5)=0 \\ x=0 \\ \\ x^{2} =5 \\ \\ x1= \sqrt{5} \\ \\ x2=- \sqrt{5}$