<PRE><B>Question 443129</B>
use a quadratic equation to find two real number that satify each sitisfy each situation ,or show that no such numbers exist.
The sum is 5 and their product is 9
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Equations:
x + y = 5
xy = 9
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Rearrange:
x = 5-y
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Substitute:
(5-y)y = 9
5y-y^2 = 9
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Rearrange:
y^2-5y+9 = 0
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Determinant: b^2-4ac = 25-4*9 = -11
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Solutions are 2 complex numbers.
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Cheers,
Stan H.</PRE>