SOLUTION: The sum of two integers is -33 and their product is 162. Develop a quadratic equation and then solve to find the value of the two integers.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The sum of two integers is -33 and their product is 162. Develop a quadratic equation and then solve to find the value of the two integers.      Log On


   

Question 1143489: The sum of two integers is -33 and their product is 162. Develop a quadratic equation and then solve to find the value of the two integers.
Found 3 solutions by josgarithmetic, Alan3354, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=-33%2Cxy=162%29

y=-x-33
-
x%28-x-33%29=162
-x%5E2-33x=162
x%5E2%2B33x=-162
highlight_green%28x%5E2%2B33x%2B162=0%29

%28x%2B6%29%28x%2B27%29=0

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-6 and -27

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two integers is -33 and their product is 162. Develop a quadratic equation and then solve to find the value of the two integers.
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You can make a quadratic, then to factor it you find 2 integers a & b
a + b = -33
a*b = 162
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The quadratic is not needed, and is a waste of time.
Just find the 2 integers.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

The correct answer is -6 and -27.


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The answer in the post by @josgarithmetic, giving the pairs  (-6,27)  and  (6,-27),  is  INCORRECT.