464,515 views
14 votes
14 votes
What should be the value of k so that the trinomial is a perfect square trinomial ?

What should be the value of k so that the trinomial is a perfect square trinomial-example-1
User Harrybvp
by
2.6k points

1 Answer

15 votes
15 votes

ANSWER:

5

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

User KendallB
by
2.8k points