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

Question

2 years ago

9

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

Mathematics

2 answers:

Kaylis [27] · Answer 1 · 2022-08-15T17:34:27+03:00

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

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.

BartSMP [9] · Answer 2 · 2022-08-15T15:25:01+03:00

BartSMP [9]2 years ago

3 0

<span>k+12/k=8
Multiply k to remove the k in one side
</span><span>(k+12/k=8) (k)
</span>Therefore,
k^2+12k-8k=0

Thus,
The equations he must solved now is k^2-8+12=0