What two numbers multiply to - 320 and add to 32

Question

Jairo Marquez

Mathematics

24 January, 02:34

What two numbers multiply to - 320 and add to 32

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Answers (1)

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Jayvon Mcdonald · Answer 1

Let a and b be the numbers, then a+b=32, b=32-a

ab=-320

a (32-a) = - 320

32a-a^2=-320

a^2-32a-320=0

a^2-40a+8a-320=0

a (a-40) + 8 (a-40) = 0

(a-40) (a+8) = 0

a=40 or-8

when a=40, b=32-40=-8

when a=-8, b=32 - (-8) = 32+8=40

so numbers are 40 and - 8