SOLUTION: solve √6x-8=x 3√3x-1=2 2√x+2-3=7

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Question 669245: solve
√6x-8=x
3√3x-1=2
2√x+2-3=7
Found 2 solutions by vleith, MathLover1:
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
I'll do the first one. You can use the same process to solve the other 2
Get the term with radical by itself
note that I read your problem as not . If the second one is what you want, then modify the following steps accordingly
now square both sides

simplify



Solve using quadratic equation
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=1536 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.51918358845308, -2.31918358845308. Here's your graph:


then pick the solutions that 'make sense'

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
1.
....move to the right

....both sides raise to the power of two



or
.....use quadratic formula











solutions:





or







graph:


2.
....move to the right

....both sides raise to the power of two




.........graph of a line that passes through the point
(,)


3.
....move to the right



....both sides raise to the power of two








........graph of a line that passes through the point
(,)





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