document.write( "Question 950012: \"+sqrt%28+x%2B7+%29%2Bsqrt+%28+3x-2+%29+=5+\" \n" ); document.write( "
Algebra.Com's Answer #580025 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"+sqrt%28+x%2B7+%29%2Bsqrt+%28+3x-2+%29+=5+\"...square both sides\r
\n" ); document.write( "\n" ); document.write( "\"+%28sqrt%28+x%2B7+%29%2Bsqrt+%28+3x-2+%29%29%5E2+=5%5E2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"++x%2B7+%2B2%2Asqrt%28+x%2B7%29%2Asqrt%28+3x-2+%29%2B3x-2+=25+\"\r
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\n" ); document.write( "\n" ); document.write( "\"++4x%2B5+%2B2sqrt%28%28x%2B7%29+%283+x-2%29%29+=25+\"\r
\n" ); document.write( "\n" ); document.write( "\"+2sqrt%28%28x%2B7%29%283x-2%29%29+=-4x%2B25-5+\"\r
\n" ); document.write( "\n" ); document.write( "\"+2sqrt%28%28x%2B7%29%283x-2%29%29+=-4x%2B20+\"...divide by 2\r
\n" ); document.write( "\n" ); document.write( "\"+sqrt%28%28x%2B7%29%283x-2%29%29+=-2x%2B10+\"..square both sides\r
\n" ); document.write( "\n" ); document.write( "\"+%28sqrt%28%28x%2B7%29%283x-2%29%29%29%5E2+=%28-2x%2B10%29%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"+%28x%2B7%29%283x-2%29+=%28-2x%29%5E2-4x%2A10%2B10%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"+3x%5E2%2B19x-14+=4x%5E2-40x%2B100+\"\r
\n" ); document.write( "\n" ); document.write( "\"+0=4x%5E2-3x%5E2-40x-19x%2B100%2B14+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-59x%2B114=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-2%29%28x-57%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x=2\"\r
\n" ); document.write( "\n" ); document.write( "\"x=57\"\r
\n" ); document.write( "\n" ); document.write( "since given right side is \"5\", we can use only \"x=2\" \r
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