Algebra

Question

0

25

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+2729

Find all real values of $s$ such that $x^2 + sx + 144 - 63 + x^2 - 25 - 18$ is the square of a binomial.

LiIIiam0216 Jun 9, 2024

NotThatSmart · Answer 1 · 2024-06-09T05:18:49

First, let's combine all like terms.

We get $2x^2+sx+38$

Dividing everything by 2, we get $x^2 + \frac{s}{2}x+19$

Square rooting 19, we get $\sqrt{19}$

So, we have $\sqrt{19}/2 = s/2$

So $s=\sqrt{19}$

Thanks! :)