document.write( "Question 1156170: Solve
\n" ); document.write( "2√(3x + 1) + 3√(4x + 5) = 23
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Algebra.Com's Answer #778852 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"2sqrt%283x+%2B+1%29+%2B+3sqrt%284x+%2B+5%29+=+23\"........square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"%282sqrt%283x+%2B+1%29+%2B+3sqrt%284x+%2B+5%29%29%5E2+=+23%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%283x+%2B+1%29+%2B12sqrt%283x+%2B+1%29%2Asqrt%284x+%2B+5%29+%2B+9%284x+%2B+5%29+=+529\"\r
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\n" ); document.write( "\n" ); document.write( "\"12x+%2B+4+%2B12sqrt%283x+%2B+1%29%2Asqrt%284x+%2B+5%29+%2B+36x+%2B+45+=+529\"\r
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\n" ); document.write( "\n" ); document.write( "\"12sqrt%283x+%2B+1%29%2Asqrt%284x+%2B+5%29+%2B+48x+%2B+49+=+529\"\r
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\n" ); document.write( "\n" ); document.write( "\"12sqrt%283x+%2B+1%29%2Asqrt%284x+%2B+5%29+=+529-48x-49\"\r
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\n" ); document.write( "\n" ); document.write( "\"12sqrt%283x+%2B+1%29%2Asqrt%284x+%2B+5%29+=+480-48x\" ......simplify, both sides divide by \"12\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%283x+%2B+1%29%2Asqrt%284x+%2B+5%29+=+40-4x\" .......square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%283x+%2B+1%29%2Asqrt%284x+%2B+5%29%29%5E2+=+%2840-4x%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283x+%2B+1%29%2A%284x+%2B+5%29+=+1600-320x%2B16x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"12x%5E2+%2B+19x+%2B+5+=+1600-320x%2B16x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=+1600-320x%2B16x%5E2-12x%5E2+-+19x+-5+\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2-339x%2B1595=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x+-+5%29+%284x+-+319%29+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"x-5=0\"=>\"x=5\"\r
\n" ); document.write( "\n" ); document.write( "if \"%284x+-+319%29+=+0\"=>\"4x+=+319\"=>\"x+=+319%2F4\"=>\"x+=+79.75\"\r
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\n" ); document.write( "\n" ); document.write( "only solution that satisfy given equation is \"x=5\"\r
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