SOLUTION: Please help me solve: {{{12/sqrt(5x+6)}}}={{{sqrt(2x+5)}}} Thank you.

Question 210784This question is from textbook Intoductery Algebra
: Please help me solve:
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Thank you. This question is from textbook Intoductery Algebra

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Why not cross-multiply?
The sqrt{2x + 5} is really over 1.
12 * 1 = sqrt{5x + 6} * sqrt{2x + 5}
12 = sqrt{10x^2 + 37x + 30}
We now have a radical equation.
Raise both sides to the second power. By doing this, we remove the square root on the right side.
(12)^2 = [sqrt{10x^2 + 37x + 30}]^2
12 = 10x^2 + 37x + 30
Subtract 12 from both sides to create a quadratic equation.
0 = 10x^2 + 37x + 18
Can you solve for now x?

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