SOLUTION: I don't understand how to solve this equation: -4x^2-24x+36=0 leaving your answer in radicals... I ended up with 24 plus/minus square root of 1152 over 8. but I don't know how to s

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Question 723272: I don't understand how to solve this equation: -4x^2-24x+36=0 leaving your answer in radicals... I ended up with 24 plus/minus square root of 1152 over 8. but I don't know how to simplify it. Can you please help me?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I don't understand how to solve this equation: -4x^2-24x+36=0 leaving your answer in radicals... I ended up with 24 plus/minus square root of 1152 over 8. but I don't know how to simplify it.
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-4x^2-24x+36=0
You can divide by -4
x^2 + 6x - 9 = 0
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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=72 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.24264068711928, -7.24264068711928. Here's your graph:
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