Question

Rezolvati ecuatia x+1 supra x-5 + x-1 supra x+5 = 7x+5 supra x la a doua - 25, pentru care x € R-{5,-5}

Answer 1

(x+1)/(x-5)+(x-1)/(x+5)=(7x+5)/(x²-25)
(x+1)(x+5)+(x-1)(x-5)=7x+5
x²+x-5x-5+x²-x+5x-5=7x+5
2x²-10=7x+5
2x²-7x-15=0
2x²+3x-10x-15=0
x(2x+3)-5(2x+3)=0
(2x+3)(x-5)=0
x=-3/2
x=5