karkishiva402
karkishiva402 karkishiva402
  • 10-07-2020
  • Mathematics
contestada


b) The product of two positive numbers is 56. If their difference is 10, find the
numbers

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 10-07-2020

Answer:

14 and 4

Step-by-step explanation:

xy = 56

x - y = 10

x = 10 + y

(10+y)y = 56

10y + y² = 56

y² + 10y - 56 = 0

(y-4)(y+14) = 0

y - 4 = 0

y = 4

y + 14 = 0

y = -14

y is a positive integer so y = 4.

x - 4 = 10

x = 14

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