SOLUTION: find x when the legnth is x+7 and the width is x-2 and the area equals 215

Question 47623: find x when the legnth is x+7 and the width is x-2
and the area equals 215

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
I am guessing that this shape is a rectangle:

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=941 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 12.837861650178, -17.837861650178. Here's your graph:

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