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prisoha [69]
3 years ago
8

What 2 numbers multiply to equal 20 and add to make -9?

Mathematics
2 answers:
sashaice [31]3 years ago
7 0

first number: x

second number: y

Sum: x + y = -9   ⇒   y = -x - 9

Product: xy = 20  ⇒ x(-x - 9) = 20

                                 -x² - 9x = 20

                                          0 = x² + 9x + 20

                                           0 = (x + 4)(x + 5)

                           0 = x + 4      or     0 = x + 5

                           x = -4           or      x = -5

y = -x - 9  ⇒  y = -(-4) - 9 = -5    or    y = -(-5) - 9 = -4

Answer: -4, -5

Andrei [34K]3 years ago
3 0
The two numbers are 10
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