SOLUTION: x+16/x=8 Find the roots (values of x when the expression is equal to zero) using factoring. Prove your answers are correct by checking, or showing that the values of x you co

Question 766193: x+16/x=8

Find the roots (values of x when the expression is equal to zero) using factoring. Prove your answers are correct by checking, or showing that the values of x you computed satisfy the original equation.
- 8 from both sides x-8+16/x=0 to get rid of fraction
x^2-8x+16=0
x=4

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You are half right.

Factor

ALL quadratics have two roots. That is because all

-th degree polynomial equations have

roots, c.f. The Fundamental Theorem of Algebra.

By the way, you have a mis-statement in your solution, though the outcome was correct. Adding -8 to both sides doesn't do anything about the variable in the denominator. You have to multiply, in this case by

, to get rid of the fraction.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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