SOLUTION: use a quadratic equation to find two real number that satify each sitisfy each situation ,or show that no such numbers exist. The sume is 5 and their produc is 9

Question 443129: use a quadratic equation to find two real number that satify each sitisfy each situation ,or show that no such numbers exist.
The sume is 5 and their produc is 9
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
----------------
Rearrange:
x = 5-y
------
Substitute:
(5-y)y = 9
5y-y^2 = 9
-----
Rearrange:
y^2-5y+9 = 0
---
Determinant: b^2-4ac = 25-4*9 = -11
----
Solutions are 2 complex numbers.
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Cheers,
Stan H.
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