document.write( "Question 562701: when I have the equation square root of(x+5)=2*square root of (x-3) + 1 how do I start that? \n" ); document.write( "
Algebra.Com's Answer #365165 by lwsshak3(11628)\"\" \"About 
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when I have the equation square root of(x+5)=2*square root of (x-3) + 1 how do I start that?
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\n" ); document.write( "√(x+5)=2√(x-3)+1
\n" ); document.write( "square both sides
\n" ); document.write( "x+5=4(x-3)+4√(x-3)+1
\n" ); document.write( "distribute, combine like terms and isolate radical
\n" ); document.write( "x+5=4x-12+4√(x-3)+1
\n" ); document.write( "-3x+16=4√(x-3)
\n" ); document.write( "square both sides again
\n" ); document.write( "9x^2-96x+256=16(x-3)=16x-48
\n" ); document.write( "9x^2-112x+304=0
\n" ); document.write( "(x-4)(9x-76)=0
\n" ); document.write( "x=4
\n" ); document.write( "or
\n" ); document.write( "x=76 (reject, does not check-extraneous root) \n" ); document.write( "
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