Question

Help please asap thank you

Answer 1

k=1 or k=-15

Explanation:

The first step is simplifying:

`k^(2)+18k-15=4k`

`k^(2)+14k=15`

Now, take half the k term and square it (
`((14)/(2))^(2)=7^(2)=49`), and add the result to both sides.

`k^(2)+14k+49=64`

Now, we know
`k^(2)+14k+49=(k+7)^(2)`, so let's rewrite our equation as:

`(k+7)^(2)=64`

Now we solve:

`(k+7)^(2)=64`

`k+7=√(64)`

So k+7=8 or k+7=-8

Therefore k=1 or k=-15