Question

REzolvati ecuatiile: a) |x-3|=2 b) |2x+7|=5 c) |x-√3|=2√3-1 d) 1-2*|x-1|=1/4 e) |x+3|-4=3*|x+3| f) |3x-2|+3√5=8

Answer 1

a) |x-3|=2 => x-3=2 => x=3+2 => x=5

b) |2x+7|=5 => 2x+7=5 =>2x=7-5=>2x=2=>x=2/2=>x=1

c) |x-√3|=2√3-1 => x-√3=2√3-1 => x-√3-2√3-1=0 ||(+1) => x-√3-2√3=0 => x=√3-2√3

d) 1-2*|x-1|=1/4 => 1-2(x-1) = 1/4 => 1-2x+2=1/4 => -2x+3=1/4 =>-2x=3-1/4 => -2x=-2/4 => -2x=-2 => x=1

 e) |x+3|-4=3*|x+3| => x+3-4 = 3(x+3) => x-1 = 3x+9 => x-3x = 9+1 => -2x=10 => x=10/(-2) => x=-5

f) |3x-2|+3√5=8 => 3x-2+3√5 = 8 => 3x+3√5=8+2 => 3x+3√5 = 10 => 3x=10-3√5 => 3x=-7√5 => x=-7√5/3 ? 

nu stiu daca am facut bine