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)![]() ![]() You can put this solution on YOUR website! 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:-) \n" ); document.write( " |