SOLUTION: How do you solve: x^2+4x=10

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Question 513668: How do you solve: x^2+4x=10
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
How do you solve: x^2+4x=10
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Use the quadratic equation.
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=56 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.74165738677394, -5.74165738677394. Here's your graph:

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x = -2 ± sqrt(14)
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