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mamaluj [8]
4 years ago
15

Find two integers whose sum is -23 and product is 132

Mathematics
1 answer:
IRISSAK [1]4 years ago
6 0

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

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I would plug in each of the solutions to every equation and see which one works. This is probably easier than solving for x, y, and z. But let me know if you would like me to run through the steps!

First choice: using the first equation, -3(-3)-4(4)+6=-19 not -1 as listed. False.

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