SOLUTION: a certain number is added to the square of the number results in 8.75.what is the number?

Question 555067: a certain number is added to the square of the number results in 8.75.what is the number?

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x^2+x=8.75
x^2+x-8.75=0
x=-3.5, x=2.5 See below
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Ed
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=36 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.5, -3.5. Here's your graph:

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