SOLUTION: How do solve xsquare+6x+5=45

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Question 246726: How do solve xsquare+6x+5=45
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
x^2+6x+5=45
x^2+6x-40=0
What are the integer factors of 40?(40,1),(20,2), (10,4), (8,5)
Which factors of 40 are 6 apart? 4, 10
We want + 6 so +10-4
(x-4)(x+10)=0
x=4
x=-10
see below for quadratic formula
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=196 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4, -10. Here's your graph:
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