Question

Find the value of c that makes t – 22t+c a perfect square trinomial.

C=
Write the expression as the square of a binomial.
The expression is

I need this to be answered asap and a step by step explanation please, do not comment if you do not know the answer !

Answer 1

c = 121

Explanation:

Given

t² - 22t

To complete the square

add ( half the coefficient of the t- term )² to t² - 22t

= t² + 2(- 11)t + (- 11)²

= t² - 22t + 121

with c = 121

Thus

t² - 22t + 121 = (t - 11)²