Question

|x-√2|=√8,x∈R..........

Answer 1

x-rad2=rad8 rezulta ca x=2rad2+rad2=3rad2
x-rad2=-rad8 rezulta ca x=-2rad2+rad2=-1rad2
solutia este -1rad2 si 3rad2

Answer 2

$|x- \sqrt{2} |= \sqrt{8} \\ |x- \sqrt{2} |=2 \sqrt{2} \\ x- \sqrt{2} =2 \sqrt{2} \\ x=2 \sqrt{2} + \sqrt{2} \\ x=3 \sqrt{2} \\ x- \sqrt{2} =-2 \sqrt{2} \\ x=-2 \sqrt{2} + \sqrt{2} \\ x=- \sqrt{2}$