SOLUTION: 2x - 5squareroot x + 2 =0

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Question 181029: 2x - 5squareroot x + 2 =0
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
2x-5sqrt(x+2)=0
2x=5sqrt(x+2)
4x^2=25(x+2) square each side.
4x^2=25x+50
4x^2-25x-50=0
x=[5(sqrt(57)+5)]/8 is the only correct answer for this problem.
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Ed
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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=1425 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 7.84364652204422, -1.59364652204422. Here's your graph:


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