Question

How do you find the value of c that makes `x^2-15x+c` into a perfect square?

Answer 1

`c = 225/4`

Explanation:

By the property `(a + c)^2 = a^2 + 2ac + c^2`, we can solve for `c`.

`2ac = -15`

`2(1)(c) = -15`

`c = -15/2`

The value of `c` needs to be a perfect square, so `c= (-15/2)^2 = 225/4`.

Hopefully this helps!