algebra
posted by Alec on .
hi jiskha. how do you solve x4/x+2 + 2/x2 = 17/x^24? I factored it so it became x4(x+2)(x2)+2(x+2)(x2)=17, but I don't know where to go from there. thanx!!

not quite,
multiply each term by x^24, realizing that x^24 = (x+2)(x2)
so you would get
(x4)(x2) + 2(x+2) = 17
x^2  6x + 8 + 2x + 4 = 17
x^2 4x  5 = 0
(x5)(x+1) = 0
x = 5 or x = 1