document.write( "Question 569284: solve the following radical: $\"+sqrt+%28+3x+%29%2B+sqrt+%28+2x-1+%29+=+5+%2F+sqrt+%28+2x-1+%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #367286 by lwsshak3(11628) $\"\"$ $\"About$

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sqrt ( 3x )+ sqrt ( 2x-1 ) = 5 / sqrt ( 2x-1 )
\n" ); document.write( "√3x+√(2x-1)=5/√(2x-1)
\n" ); document.write( "multiply both sides by √(2x-1)
\n" ); document.write( "√(6x^2-3x)+2x-1=5
\n" ); document.write( "√(6x^2-3x)=-2x+6
\n" ); document.write( "square both sides
\n" ); document.write( "6x^2-3x=4x^2-24x+36
\n" ); document.write( "2x^2+21x-36=0
\n" ); document.write( "(x+12)(2x-3)=0
\n" ); document.write( "x=-12
\n" ); document.write( "or
\n" ); document.write( "x=3/2 \n" ); document.write( "

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