Respuesta :

Answer:

x = -2 and 7

Step-by-step explanation:

  • x^2 - 5x - 14 = 0
  • x^2 - ( 7 - 2 )x - 14 = 0
  • x^2 - 7x + 2x - 14 = 0
  • x ( x - 7 ) + 2(x - 7) = 0
  • (x + 2) (x - 7) = 0
  • x = -2 and 7

Hope it helps !!

[tex] \huge\bf \bold{Answer : }[/tex]

  • [tex] \bf \: {x}^{2} - 5x - 14 = 0[/tex]

[tex] \: \: [/tex]

  • [tex] \bf \: {x}^{2} - (7 - 2)x - 14 = 0 [/tex]

[tex] \: \: [/tex]

  • [tex] \bf \: {x}^{2} - 7x + 2x - 14 = 0[/tex]

[tex] \: \: [/tex]

  • [tex] \bf \: x(x - 7) + 2(x - 7) = 0[/tex]

[tex] \: \: [/tex]

  • [tex] \bf \: (x + 2) - (x - 7) = 0[/tex]

[tex] \: \: [/tex]

  • [tex] \boxed{ \bf x = - 2 }\bf \: \: \: and \: \: \: \: \boxed{ \bf \: x = 7}[/tex]

[tex] \: \: [/tex]

Hope Helps!!