document.write( "Question 348214: (5√x-2) - 3 = (√19x-29)
\n" ); document.write( "I've been able to solve problems with two rationals, but the 5 added before the first one is causing me problems. step-by-step solutions please! \n" ); document.write( "

Algebra.Com's Answer #249622 by nyc_function(2741) $\"\"$ $\"About$

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5 √[x - 2]) - 3 = √[19x - 29] square both side \r
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\n" ); document.write( "\n" ); document.write( "25(x-2) – 30√(x-2) + 9 = 19 x – 29 add by -19x +30√(x-2) +29 \r
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\n" ); document.write( "\n" ); document.write( "6x-12 =30√(x-2) divide by 6\r
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\n" ); document.write( "\n" ); document.write( "X -2 = 5√ (x-2) square both side\r
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\n" ); document.write( "\n" ); document.write( "X^2 -4x + 4 =25x – 50 \r
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\n" ); document.write( "\n" ); document.write( "X^2 -29x +54=0 \r
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\n" ); document.write( "\n" ); document.write( "(x-27)(x-2) =0 → x= 27 \r
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\n" ); document.write( "\n" ); document.write( "We reject x = 2 because it does not satisfy the original radical equation.\r
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\n" ); document.write( "\n" ); document.write( "The only answer is x = 27.
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