SOLUTION: Solve 12/sqrt(5x+6)=sqrt(2x+5)

Question 170463This question is from textbook Introductory Algebra
: Solve
12/sqrt(5x+6)=sqrt(2x+5) This question is from textbook Introductory Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve
12/sqrt(5x+6)=sqrt(2x+5)
sqrt[5x+6)(2x+5) = 12
10x^2+37x+30 = 12
10x^2 + 37x +18 = 0
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x = [-37 +- sqrt(37^2 - 4*10*18)]/20
x = [-37 +- sqrt(649)]/20
x = [-37 +- 25.4755]/20
x = -3.1238 or x = -0.57623
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Only x= -0.57623 is an acceptable answer as the other makes the
original equation meaningless as it would involve sqrt(negative number)
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Cheers,
Stan H.
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