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?

k^2-8k-12=0

k^2+8k+12=0

k^2-8k-12=0

k^2+8k+12=0

k^2-8+12=0

k^2-8k+12=0

Answer 1

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

Step-by-step explanation:

1) Given equation:

`k+12/k=8`

2) Multiplication property of equality:

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

3) Distributive property:

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

4) Simplification:

`k^2+12=8k`

5) Subtraction property of equality:

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

So, that is the equation that he has to solve.