Question

Determinati x apartine lui R pentru care:
$\frac{x-2}{2x+3} + \frac{x+2}{2x-3} = 4$

Answer 1

2X+3≠0⇒x≠-3/2
2x-3≠o⇒x≠3/2
aducem la acelasi numitor
(x-2)(2x-3)+(x+2)(2x+3)=4(4x²-9)
2x²-2x-3x+6+2x²+4x+3x+6=16x²-36
4x²+12=16x²-36
12x²=48
x²=4
x1,2=+,- √4=+,-2