document.write( "Question 974369: SQRT(x + 8) + SQRT(x + 15) = SQRT(9x + 40). This must be squared twice and I'm stuck. \n" ); document.write( "
Algebra.Com's Answer #596280 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
SQRT(x + 8) + SQRT(x + 15) = SQRT(9x + 40). This must be squared twice and I'm stuck.
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Where are you stuck? Why don't you show what you've done so someone can see and tell you why and/or
\n" ); document.write( "where you're getting stuck? I got \"highlight_green%28x+=+1%29\"
\n" ); document.write( "SOLUTION BELOW:
\"sqrt%28x+%2B+8%29+%2B+sqrt%28x+%2B+15%29+=+sqrt%289x+%2B+40%29\"
\n" ); document.write( "\"%28sqrt%28x+%2B+8%29+%2B+sqrt%28x+%2B+15%29%29%5E2+=+%28sqrt%289x+%2B+40%29%29%5E2\" ------ Squaring both sides
\n" ); document.write( "\"%28x+%2B+8%29+%2B+2+%2A+sqrt%28%28x+%2B+8%29%28x+%2B+15%29%29+%2B+x+%2B+15+=+9x+%2B+40\"
\n" ); document.write( "\"x+%2B+8+%2B+x+%2B+15+%2B+2+%2A+sqrt%28x%5E2+%2B+23x+%2B+120%29+=+9x+%2B+40\"
\n" ); document.write( "\"2x+%2B+23+%2B+2+%2A+sqrt%28x%5E2+%2B+23x+%2B+120%29+=+9x+%2B+40\"
\n" ); document.write( "\"2+%2A+sqrt%28x%5E2+%2B+23x+%2B+120%29+=+9x+%2B+40+-+2x+-+23\"
\n" ); document.write( "\"2+%2A+sqrt%28x%5E2+%2B+23x+%2B+120%29+=+7x+%2B+17\"
\n" ); document.write( "\"%282+%2A+sqrt%28x%5E2+%2B+23x+%2B+120%29%29%5E2+=+%287x+%2B+17%29%5E2\" ------- Squaring both sides
\n" ); document.write( "\"4%28x%5E2+%2B+23x+%2B+120%29+=+49x%5E2+%2B+238x+%2B+289\"
\n" ); document.write( "\"4x%5E2+%2B+92x+%2B+480+=+49x%5E2+%2B+238x+%2B+289\"
\n" ); document.write( "\"49x%5E2+-+4x%5E2+%2B+238x+-+92x+%2B+289+-+480+=+0\"
\n" ); document.write( "\"45x%5E2+%2B+146x+-+191+=+0\"
\n" ); document.write( "\"45x%5E2+%2B+191x+-+45x+-+191+=+0\"
\n" ); document.write( "\"x%2845x+%2B+191%29+-+1%2845x+%2B+191%29+=+0\"
\n" ); document.write( "(x – 1)(45x + 191) = 0
\n" ); document.write( "\"highlight_green%28x+=+1%29\" OR x = \"-+191%2F45\" (ignore) \n" ); document.write( "
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