Question

what should be the value of k so that the trinomial is a perfect square trinomial ?

Answer 1

ANSWER:

5

STEP-BY-STEP EXPLANATION:

The perfect square trinomial is given as follows:

$(a\pm b)^2=a^2\pm2ab+b^2$

Therefore, in this case would be:

$\begin{gathered} x^2+2kx+25 \\ a=x \\ b=5 \\ (x+5)^2=x^2+2\cdot5x+25 \\ k=5 \end{gathered}$

Therefore the value of k is 5