Question

найдите сумму корней уравнения x^2-4|x|+3=0

Answer 1

x^2-4|x|+3=0

|x|^2-4|x|+3=0

D=16-12=4=2^2

|x₁₂| = (4+-2)/2 = 1 3

x1=1 x2=-1

x3=3 x4=-3

x1+x2+x3+x4= -1 - 3 + 1 + 3 = 0