rk2c77j9y6
contestada

The product of two consecutive odd integers is 255. Find the integers.
Note: Each set of brackets represents one solution


100points

The product of two consecutive odd integers is 255 Find the integers Note Each set of brackets represents one solution 100points class=

Respuesta :

mhanifa

Answer:

  • (15, 17) and (- 17, - 15)

Step-by-step explanation:

Let numbers be x and x + 2.

Their product is 255:

  • x(x + 2) = 255
  • x² + 2x = 255
  • x² + 2x  + 1 = 256
  • (x + 1)² = 16²
  • x + 1 = ± 16
  • 1) x + 1 = 16 ⇒ x = 15 and x + 2 = 17
  • 2) x + 1 = - 16 ⇒ x = - 17 and x + 2 = - 15

Otras preguntas