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chinalove chinalove
  • 07-04-2017
  • Mathematics
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what two number adds to 10 but multiply to 16

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Аноним Аноним
  • 07-04-2017
8 and 2 because 2+8=10 and 2 times 8 =16
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Аноним Аноним
  • 07-04-2017
let 2 nos. be x & y

x + y = 10

x * y = 16

from 1st eqn, y = 10 - x

substituting in 2nd eqn

x * (10 - x) = 16

10x - x^2 = 16

x^2 - 10x + 16 = 0

(x - 8)(x - 2) = 0

x = 8 or x =2

y = 10 - 8 = 2 or 10 - 2 = 8

so the two numbers are 2 and 8

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