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Find two integers whose sum is -23 and product is 132
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Find two integers whose sum is -23 and product is 132
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Mathematics
3 years
2021-09-02T01:37:08+00:00
2021-09-02T01:37:08+00:00 1 Answers
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Step-by-step explanation:
Let x and y be two integers
x * y = 132
x + y = -23
x= -23 – y
y(-23 – y) = 132
-23y – y^2 = 132
y^2 +23y + 132 = 0
(y + 11) (y + 12) = 0
y = -11 or – 12
If y = -11 then x + (-11) = -23 -> x = -12
If y = -12 then x + (-12) = -23 -> x = -11
So the two integers are -11 and -12