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Respuesta :

ScoobyDoo92930

MATH // ANSWER

Representation:

let x be the number:

  • first number x
  • second number x+1
  • third number x+2

Illustration:

  • (1st)² + (2nd)(3rd) = 46
  • x² + (x+1)(x+2) = 46

Solution:

  • x² + (x + 1) (x + 2) = 46
  • x² + x² 3x + 2 = 46
  • 2x² + 3x = 2 - 46 = 0
  • 2x²+3x - 44 = 0
  • x - 4 = 0
  • 2x + 11 = 0
  • x = 4
  • 2x = -11
  • x = -11/2

1st = 4

2nd = 4+1 = 5

3rd = 4+2 = 6

Checking:

  • 4²+(5)(6) = 46
  • 16+30 = 46
  • 46 = 46

Answer

  • the numbers are 4, 5 and 6

HOPE THIS HELPS. GOODLUCK:)