document.write( "Question 925610: Please Help!!! Q) In a school 5/2 times the square root of the total number of children play football, one fourth of the total number of children play tennis and the remaining 28 children play basketball. Find the total number of children in school?? \n" ); document.write( "
Algebra.Com's Answer #561670 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "if the total number of children is \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"%285%2F2%29sqrt%28x%29\" play football\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F4%29x\" play tennis \r
\n" ); document.write( "\n" ); document.write( " the remaining \"28\" children play basketball\r
\n" ); document.write( "\n" ); document.write( "so, \"x=%285%2F2%29sqrt%28x%29%2B%281%2F4%29x%2B28\" ....solve for \"x\", both sides multiply by \"4\"\r
\n" ); document.write( "\n" ); document.write( "\"4x=4%285%2F2%29sqrt%28x%29%2B4%281%2F4%29x%2B28%2A4\"\r
\n" ); document.write( "\n" ); document.write( "\"4x=10sqrt%28x%29%2Bx%2B112\"\r
\n" ); document.write( "\n" ); document.write( "\"3x-112=10sqrt%28x%29\"....square both sides\r
\n" ); document.write( "\n" ); document.write( "\"%283x-112%29%5E2=%2810sqrt%28x%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"9x%5E2-672x%2B12544=100x\"\r
\n" ); document.write( "\n" ); document.write( "\"9x%5E2-672x-100x%2B12544=0\"\r
\n" ); document.write( "\n" ); document.write( "\"9x%5E2-772x%2B12544=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-772%29+%2B-+sqrt%28+%28-772%29%5E2-4%2A9%2A12544+%29%29%2F%282%2A9%29+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28772+%2B-+sqrt%28+595984-451584+%29%29%2F18+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28772+%2B-+sqrt%28+144400+%29%29%2F18+\" \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28772+%2B-+380%29%2F18+\" \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28772+%2B380%29%2F18+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+1152%2F18+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+64\" \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28772+-380%29%2F18+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+392%2F18+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+21.78+\" ...we can not use decimal for number of the children\r
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\n" ); document.write( "\n" ); document.write( "=> our solution is \"highlight%28x+=+64+%29\"\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "so, if the total number of children is \"64\"\r
\n" ); document.write( "\n" ); document.write( "\"%285%2F2%29sqrt%2864%29=%285%2F2%29%2A8=5%2A4=20\" play football\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F4%2964=64%2F4=16\" play tennis \r
\n" ); document.write( "\n" ); document.write( " the remaining \"64-%2820%2B16%29=64-36=28\" children play basketball\r
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