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Help please asap thank you

Help please asap thank you-example-1
User Michael Hsu
by
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1 Answer

12 votes
12 votes

Answer:

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

User Olita
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2.9k points