document.write( "Question 986899: The product of two numbers is -192 and their sum is 4. What are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #607680 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "The product of two numbers is -192
\n" ); document.write( "xy = -192
\n" ); document.write( "Their sum = 4
\n" ); document.write( "x + y = 4
\n" ); document.write( "y = 4 - x
\n" ); document.write( "Substitute 4 - x into
\n" ); document.write( "equation xy = -192
\n" ); document.write( "x(4 - x) = -192
\n" ); document.write( "Multiply out:
\n" ); document.write( "= 4x - x^2 = -192
\n" ); document.write( "Sort out
\n" ); document.write( "192 + 4x - x^2 = 0
\n" ); document.write( "Factorise:
\n" ); document.write( "(12 + x)(16 + x-) = 0
\n" ); document.write( "12 + x = 0
\n" ); document.write( "x = -12
\n" ); document.write( "16 + x- = 0
\n" ); document.write( "-x = -16
\n" ); document.write( "x = 16
\n" ); document.write( "Two numbers are:-
\n" ); document.write( "-12 and 16
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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