SOLUTION: sqrt5x-1=-sqrtx+2+3

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Question 1108200: sqrt5x-1=-sqrtx+2+3
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
sqrt5x-1=-sqrtx+2+3
===================
sqrt(5x) - 1 = -sqrt(x) +2 + 3
sqrt(5x) - 1 = -sqrt(x) + 5
sqrt(5x) = -sqrt(x) + 6
5x = x - 12sqrt(x) + 36
4x - 36 = -12sqrt(x)
x - 9 = -3sqrt(x)
x^2 - 18x + 81 = 9x
x^2 - 27x + 81 = 0
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=405 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 23.5623058987491, 3.43769410125095. Here's your graph:
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