SOLUTION: Use the quadratic formula to solve the following equations x^2 + 16x + 53 = 0

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Question 101017: Use the quadratic formula to solve the following equations
x^2 + 16x + 53 = 0
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=44 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -4.6833752096446, -11.3166247903554. Here's your graph:
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