Question

3) solutiile reale ale ecuatiei 4x la puterea 2-1=0 sunt...
solutia ecuatiei |4x-1|=1 in Z\N
solutia ecuatiei4x la puterea 2=9 in Q

AJUTOR!!

Answer 1

4x la puterea 2-1=0 => (2x-1)(2x+1)=0 => 2x-1=0 =>x=1/2
2x+1=0 => x=-1/2


|4x-1|= 4x-1, daca x≥1/4 sau -4x+1, daca x<1/4
4x-1=1 => 4x=2 => x=2/4=1/2 ∈Z\N
-4x+1=1 => -4x=0 => x=0 ∉Z\N

4x la puterea 2=9⇔ x=$\sqrt{9/4}$ => x=+- 3/2 ∈Q