document.write( "Question 464180: solve the radical equation. sqrt(4x+5)=2+sqrt(2x-1) \n" ); document.write( "
Algebra.Com's Answer #317963 by lwsshak3(11628)\"\" \"About 
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solve the radical equation. sqrt(4x+5)=2+sqrt(2x-1)
\n" ); document.write( "...
\n" ); document.write( "√(4x+5)=2+√sqrt(2x-1)
\n" ); document.write( "move radicals to one side of the equation
\n" ); document.write( "√(4x+5)-√sqrt(2x-1)=2
\n" ); document.write( "square both sides: (a-b)^2=a^2-2ab+b^2)
\n" ); document.write( "4x+5-2√(4x+5)(2x-1)+2x-1=4
\n" ); document.write( "isolate radical
\n" ); document.write( "2√(4x+5)(2x-1)=6x+4-4=6x
\n" ); document.write( "square both sides again
\n" ); document.write( "4(4x+5)(2x-1)=36x^2
\n" ); document.write( "4(8x^2+6x-5)=36x^2
\n" ); document.write( "32x^2+24x-20=36x^2
\n" ); document.write( "-4x^2+24x-20=0
\n" ); document.write( "divide by -4
\n" ); document.write( "x^2-6x+5=0
\n" ); document.write( "(x+5)(x-1)=0
\n" ); document.write( "x=1
\n" ); document.write( "or
\n" ); document.write( "x=-5 (reject, (x≥-5/4), sqrt(4x+5) restriction
\n" ); document.write( "ans:
\n" ); document.write( "x=1 \n" ); document.write( "
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