SOLUTION: X{X-5}=8+(X-3)

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Question 578740: X{X-5}=8+(X-3)
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
X{X-5}=8+(X-3)
x^2-5x=8+x-3
x^2-6x-5=0
x=3-sqrt(14), x=3+sqrt(14) (see below)
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Ed
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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=56 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6.74165738677394, -0.741657386773941. Here's your graph:
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