SOLUTION: Find the roots of x^2+11x =-30 I need the steps please and thank you.

Question 761571: Find the roots of x^2+11x =-30
I need the steps please and thank you.
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!

Can be written as:

If the two roots are -a and -b, then (x + a)*(x + b) = 0
x^2 + (a+b) x + ab = 0.
Comparing it with your equation,
a + b = 11
a * b = 30
One way to find out a and b is through trial and error, by looking at all factors of 30 that sum up to 11. We get the combination of 6 and 5.
So the equation can be written as

or
Roots are -6 and -5.
You can also solve it using the standard quadratic solver.

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=1 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -5, -6. Here's your graph:

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