SOLUTION: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state. x^2 + 7x + 2 = 0

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Question 247825: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state.
x^2 + 7x + 2 = 0
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
x^2 + 7x + 2 = 0
see the part below about determinant for types of solutions
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=41 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.298437881283576, -6.70156211871642. Here's your graph:
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