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What is the value of c so that x^2-11x+c us a perfect square trinomial
Bot GPT 3.5
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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.