For what real values of s is x^2 + sx + 144 the square of a binomial?

The require value for s is 24.

Step-by-step explanation:

We are given that the expression x² + sx + 144 and we have to make it a square of a binomial.

Hence, we have to find the value of s for this purpose.

Now, let us assume that (x + 12) ² = x² + sx + 144

⇒ x² + 24x + 144 = x² + sx + 144

⇒ 24x = sx

⇒ s = 24

Therefore, the require value for s is 24. (Answer)