Question

Kent multiplies both sides of the equation below by an expression.

k + StartFraction 12 Over k EndFraction = 8

Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?
k squared minus 8 k minus 12 = 0
k squared + 8 k + 12 = 0
k squared minus 8 + 12 = 0
k squared minus 8 k + 12 = 0

Answer 1

Start with k + 12/k = 8. Multiply both sides by k (k ≠ 0):

k^2 + 12 = 8k.

Move all terms to one side:

k^2 − 8k + 12 = 0.

So the correct equation is k squared minus 8 k + 12 = 0.