MaKhiIQ6678 MaKhiIQ6678
  • 15-05-2023
  • Mathematics
contestada

find two numbers whose sum is 15 and whose product is 44. write the answers as integers or simplified fractions.

Respuesta :

mhanifa
mhanifa mhanifa
  • 15-05-2023

Answer:

  • 4 and 11

--------------------------

Set up a system of equations using the given information:

  • 1) x + y = 15
  • 2) xy = 44

First, we can solve equation (1) for one of the variables, such as x:

  • x = 15 - y

Substitute this expression for x into equation (2):

  • (15 - y)y = 44
  • 15y - y² = 44
  • y² - 15y + 44 = 0

By factoring the quadratic equation, we get:

  • (y - 4)(y - 11) = 0

So, the possible values for y are 4 and 11, so as x values (11 or 4).

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