A quadratic equation that can be written as the difference of squares has

C. two solutions

while a quadratic equation written as a perfect square trinomial has

no solutions

one solution

two solutions

B. one solution

Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x^2−6x+9=0

. What was the amount of her raise per hour?

A. $2 per hour

B. -$2 per hour

C. -$3 per hour

D. $3 per hour

To solve this equation, we need to find the value of x that makes the equation equal to zero.

The given equation is x^2 - 6x + 9 = 0.

This equation can be factored as (x - 3)^2 = 0.

So, (x - 3)(x - 3) = 0.

This means x = 3.

Therefore, the amount of her raise per hour is $3 per hour.

So, the answer is:

D. $3 per hour