document.write( "Question 980015: The sum of two numbers is 20. Their product is 36. If the smaller number is represented by x, which of the following represents the larger number?
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Algebra.Com's Answer #601210 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "x + y = 20
\n" ); document.write( "xy = 36
\n" ); document.write( "......
\n" ); document.write( "Using xy = 36
\n" ); document.write( "y = 36/x
\n" ); document.write( "Substitute in
\n" ); document.write( "x + y = 20
\n" ); document.write( "x + 36/x = 20
\n" ); document.write( "Multiply through by x
\n" ); document.write( "x^2 + 36 = 20x
\n" ); document.write( "Rearrange into ax^2 + bx + c = 0 form
\n" ); document.write( "x^2 - 20x + 36 = 0
\n" ); document.write( "Factorise
\n" ); document.write( "(x - 2)(x - 18)= 0
\n" ); document.write( "x - 2 = 0
\n" ); document.write( "x = 2
\n" ); document.write( "or
\n" ); document.write( "x - 18 = 0
\n" ); document.write( "x = 18
\n" ); document.write( "Hope this helps:-)
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