Question

Rezolvati in R ecuatiile:

a) (x-2)(3x-√2)=0
b) |x-2|=4
c) 2x-√2=√8
d) √2x-4=2x-2√2 .

Answer 1

a) x1=2
x2=rad2/3
b) x-2=4 => x=6
-x+2=4 =>-x=2 => x=-2
c) 2x=2rad2+rad2
2x=3rad2 => x=3rad2/2
d) rad2x-2x=4-2rad2
x(rad2-2)=4-2rad2
x=(4-2rad2)/(rad2-2)
x=(4-2rad2)(rad2+2)/(rad2-2)
x=(4rad2+8-4-2rad2)/(2-4)
x=(2rad2+4)/(-2)
x=2(rad2+2)/(-2)
x=-rad2-2