Question

Kent multiplies both sides of the equation below by an expression. k+12/k=8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

Answer 1

The required equation is
`k^2-8k+12=0`.

Explanation:

The given equation is

`k+(12)/(k)=8`

Multiply both sides by k.

`k^2+12=8k`

Subtract 8k from both sides to move all the terms to one side of the equal sign.

`k^2+12-8k=8k-8k`

`k^2-8k+12=0`

Therefore the required equation is
`k^2-8k+12=0`.