Question

What is the value of c so that x^2-11x+c us a perfect square trinomial

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of c so that x^2-11x+c is a perfect square trinomial, we need to complete the square.

First, take half of the coefficient of x, which is -11/2, and square it to get 121/4.

Next, add this value to both sides of the equation:

x^2 - 11x + 121/4 + c = x^2 - 11x + 121/4

Now, x^2 - 11x + 121/4 can be factored as (x - 11/2)^2.

So, we have:

(x - 11/2)^2 = x^2 - 11x + 121/4

This means that c must be equal to 121/4 in order for x^2-11x+c to be a perfect square trinomial.