document.write( "Question 443129: use a quadratic equation to find two real number that satify each sitisfy each situation ,or show that no such numbers exist.
\n" ); document.write( " The sume is 5 and their produc is 9 \n" ); document.write( "

Algebra.Com's Answer #305678 by stanbon(75887) $\"\"$ $\"About$

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use a quadratic equation to find two real number that satify each sitisfy each situation ,or show that no such numbers exist.
\n" ); document.write( "The sum is 5 and their product is 9
\n" ); document.write( "--------------------
\n" ); document.write( "Equations:
\n" ); document.write( "x + y = 5
\n" ); document.write( "xy = 9
\n" ); document.write( "----------------
\n" ); document.write( "Rearrange:
\n" ); document.write( "x = 5-y
\n" ); document.write( "------
\n" ); document.write( "Substitute:
\n" ); document.write( "(5-y)y = 9
\n" ); document.write( "5y-y^2 = 9
\n" ); document.write( "-----
\n" ); document.write( "Rearrange:
\n" ); document.write( "y^2-5y+9 = 0
\n" ); document.write( "---
\n" ); document.write( "Determinant: b^2-4ac = 25-4*9 = -11
\n" ); document.write( "----
\n" ); document.write( "Solutions are 2 complex numbers.
\n" ); document.write( "==========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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