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]