Respuesta :

mhanifa

Answer:

  • x² - 2x - 15 = 0

Step-by-step explanation:

Roots:

  • x₁ = -3, x₂ = 5

The equation:

  • (x - x₁)(x - x₂) = 0
  • (x - (-3))(x - 5) = 0
  • (x + 3)(x - 5) = 0
  • x² + 3x - 5x - 15 = 0
  • x² - 2x - 15 = 0

Step-by-step explanation:

Let the roots be a and b

  • a=-3
  • b=5

To form a equation the formula is

[tex]\sf x^2-(a+b)x+ab[/tex]

[tex] \sf➡ {x}^{2} - ( - 3 + 5)x + ( - 3)5 \\ \sf \: ➡ {x}^{2} - 2x - 15 = 0[/tex]