Question

Each of the following are perfect square. Find the value of k. 4x^4+12x^2+k

Answer 1

Answer:

k=9

Step by Step Explanation:

Using the Identity a^2+2ab+b^2.

4x^4+12x^2+k

=(2x^2)^2+2(2x^2)(rootk)+k

=(2x^2)^2+2(2x^2)(3)+k       (root k =3 because 12/4=3)

Since k is a perfect square,

(Root k)(Root k)=k

(3)(3)=k

9=k