Question

How do I state the value of k that makes each expression a perfect square trinomial?

a) x²+ 10x + k

Answer 1

This is basically completing the square.

Answer 2

\[
(x+s)^2 = x^2+\color{red}{2s}x+\color{blue}{s^2}
\]Compare that with out equations:\[
x^2+\color{red}{10}x+\color{blue}k
\]Notice that \(\color{red}{2s=10}\) and \(\color{blue}{s^2=k}\).
Do you think you can solve for \(s\)?

Answer 3

I'm confused