SOLUTION: {{{ 5 sqrt (x) - x = 6 }}}

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Question 986091:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!


Square both sided


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=25 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 9, 4. Here's your graph:

===========
x = 4
x = 9

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