SOLUTION: Find the solutions to the equation. x - 5/x = 4.

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Question 82549: Find the solutions to the equation.
x - 5/x = 4.

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
x-5%2Fx=4
Get the 5/x term alone on one side of the equation:
-5%2Fx=4-x
multiply each side of the equation by x to get that x out of the denominator:
-5=4x-x%5E2
Put the quadratic in standard for - i.e. equate to zero:
x%5E2-4x-5=0
Factor:
%28x-5%29%28x%2B1%29=0
Equate each term to zero and solve for x:
highlight%28x=5%29
highlight%28x=-1%29
Good Luck,
tutor_paul@yahoo.com