SOLUTION: Im stuck on this problem. It says solve 12/√(5x+6)=√(2x+5) Thanks so much

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Question 155420This question is from textbook Introductory Algebra
: Im stuck on this problem.
It says solve
12/√(5x+6)=√(2x+5)
Thanks so much This question is from textbook Introductory Algebra

Found 2 solutions by Earlsdon, nerdybill:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x:
Multiply both sides by
Simplify the right side.
Now square both sides.
Perform the indicated multiplication.
Subtract 144 from both sides.
Solve by the quadratic formula: where: a = 10, b = 37, and c = -114.
Simplify.


or
or

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

.
To find 'x', start by multiplying both sides by

.
Notice the denominator cancels on the left. On the right we have:

.
Now, we square both sides:

.
Using FOIL, we expand the right side:



.
Since, we can't factor, we must use the quadratic equation. Doing so, will produce two solutions:
x = {2, -5.7}
.
Reference: here is the quadratic solution
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=5929 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2, -5.7. Here's your graph:
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