Question

what is the solution of -8/2y-8=5/y+4-7y+8/y^2-16

Answer 1

Find least common multiplier(LCM) of 2y-8,y,y^2: 2y^2(y-4)

multiply by LCM=2y^2(y-4) -8/2y-8*2y^2(y-4)=5/y*2y^2(y-4)+4*2y^2(y-4)-7y*2y^2(y-4)+8/y^2*2y^2(y-4)-16*2y^2(y-4)

simplify -8y^2=10y(y-4)-24y^2(y-4)+16(y-4)

silve-8y^2=10y(y-4)-14y^3(y-4)+16(y-4): y  ≈ -1.866

y ≈ -1.86631.... y ≈ 4.10250.... y ≈ -0.74834.... y ≈0.79785....

y=4, y=0

y ≈ 1.86631..... y ≈ 4.10250.... y ≈ -0.74834 y≈ 0.79785...