SOLUTION: i need to solve this proportion: x/5 = 4/x+1. I get to {{{x^2+x=20}}} then i'm stuck.

Algebra ->  Proportions -> SOLUTION: i need to solve this proportion: x/5 = 4/x+1. I get to {{{x^2+x=20}}} then i'm stuck.      Log On


   

Question 6300: i need to solve this proportion: x/5 = 4/x+1. I get to x%5E2%2Bx=20 then i'm stuck.
Answer by minerva(22) About Me  (Show Source):
You can put this solution on YOUR website!
x/5=4/x+1
cross multiply or multiply by the LCM that is 5(x+1)
x (x+1)=5 X 4
x^2 +x =20
x^2 + x -20=0
x^2 + 5x -4x -20=0
x(x +5) -4(x+5)=0
(x+5)(x-4)=0
x=-5 , x=+4