Question

What should be the value of k so that the trinomial becomes a perfect square trinomial?x2 + 36x + k

Answer 1

Step 1

Rearrange the equation.

`x^2+36x=-k`

Step 2

Add the required constant to complete the square.

`x^2+36x+18^2`

Step 3

Conclude

`\text{Hence k = 18}^2=324`