SOLUTION: solve the following radical: {{{ sqrt ( 3x )+ sqrt ( 2x-1 ) = 5 / sqrt ( 2x-1 ) }}}
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Question 569284: solve the following radical:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
sqrt ( 3x )+ sqrt ( 2x-1 ) = 5 / sqrt ( 2x-1 )
√3x+√(2x-1)=5/√(2x-1)
multiply both sides by √(2x-1)
√(6x^2-3x)+2x-1=5
√(6x^2-3x)=-2x+6
square both sides
6x^2-3x=4x^2-24x+36
2x^2+21x-36=0
(x+12)(2x-3)=0
x=-12
or
x=3/2
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