Respuesta :

Answer:

x=4, x=-10

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

As per Pythagorean theorem:

  • 10² = (x+2)² + (x+4)²
  • 100 = x² + 4x + 4 + x² + 8x + 16
  • 100 = 2x² + 12x + 20
  • 80 = 2x² + 12x
  • 40 = x² + 6x
  • x² + 6x - 40 = 0

Solving we get positive root of:

  • x = 4