SOLUTION: find a number such that nine added to two times the number is equal to the product of the number and the quantity of one added to the number

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Question 376033: find a number such that nine added to two times the number is equal to the product of the number and the quantity of one added to the number
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
2x+9=x(x+1)
2x+9=x^2+x
x^2-x-9=0
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=37 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.54138126514911, -2.54138126514911. Here's your graph:

.
Ed
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