Write out the steps so I can take notes, please!! I need to study before my next quiz ^.^
+128408 x 20 2
___ = ___________ + _______
x - 4 (x + 4) ( x - 1) x - 1
Multiply through by the common denominator ( x - 4) ( x + 4) ( x - 1) and we have
x (x + 4) ( x - 1) = 20 (x - 4) + 2 (x - 4) (x + 4) simplify
x ( x^2 + 3x - 4) = 20x - 80 + 2( x^2 - 16)
x^3 + 3x^2 - 4x = 20x - 80 + 2x^2 - 32
x^3 + x^2 - 24x + 112 = 0
WolframAlpha shows that the only real solution is x ≈ -6.8684
https://www.wolframalpha.com/input/?i=x%5E3+%2B+x%5E2+-+24x+%2B+112++%3D++0
