document.write( "Question 983423: if the number p is 7 more than the number q and the sum of the squares of p and q is 85 find the product of p and q? \n" ); document.write( "
Algebra.Com's Answer #604221 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "If p is 7 more than q
\n" ); document.write( "p = q + 7
\n" ); document.write( "the sum of the squares of p and q is 85
\n" ); document.write( "p^2 + q^2 = 85
\n" ); document.write( "Substitute q + 7 for 'p'
\n" ); document.write( "(q + 7)^2 + q^2 = 85
\n" ); document.write( "Multiply out
\n" ); document.write( "q^2 + 14q + 49 + q^2 = 85
\n" ); document.write( "Collect like terms
\n" ); document.write( "q^2 + q^2 + 14q + 49 - 85 = 0
\n" ); document.write( "2q^2 + 14q - 36 = 0
\n" ); document.write( "Divide thro'out by 2
\n" ); document.write( "q^2 + 7q - 18 = 0
\n" ); document.write( "Factorise
\n" ); document.write( "(q - 2)(q + 9) = 0
\n" ); document.write( "So, either;
\n" ); document.write( "q - 2 = 0
\n" ); document.write( "q = 2
\n" ); document.write( "OR
\n" ); document.write( "q + 9 = 0
\n" ); document.write( "q = -9
\n" ); document.write( "........
\n" ); document.write( "Using q = 2
\n" ); document.write( "p = q + 7
\n" ); document.write( "p = 9
\n" ); document.write( "pq = 9 x 2
\n" ); document.write( "pq = 18
\n" ); document.write( "........
\n" ); document.write( "Using q = -9
\n" ); document.write( "p = q + 7
\n" ); document.write( "p = -2
\n" ); document.write( "pq = 9 x -2
\n" ); document.write( "pq = -18
\n" ); document.write( ".........
\n" ); document.write( "Hope this helps:-)
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