Question

Indica la menor raíz luego de resolver: x(x + 7) – 50 = 10

Answer 1

Respuesta:

x2 = -12

Explicación:

x(x + 7) – 50 = 10

x² + 7x - 50 - 10 = 0

x² + 7x - 60 = 0

x = ((-b) ± √b²-4ac) / 2a

x = (-7 ± √7²-4(1)(-60)) / 2(1)

x = (-7 ± √49+240) / 2

x = (-7 ± √289) / 2

x = (-7 ± 17) / 2

x1 = (-7 +17) / 2

x1 = 10/2

x1 = 5

x2 = (-7 -17) / 2

x2 = -24 / 2

x2 = -12

Answer 2

Respuesta:

Explicación:

x(x + 7) – 50 = 10  

x² + 7x - 50 - 10 = 0  

x² + 7x - 60 = 0  

x = ((-b) ± √b²-4ac) / 2a  

x = (-7 ± √7²-4(1)(-60)) / 2(1)  

x = (-7 ± √49+240) / 2  

x = (-7 ± √289) / 2  

x = (-7 ± 17) / 2  

x1 = (-7 +17) / 2  

x1 = 10/2  

x1 = 5

x2 = (-7 -17) / 2  

x2 = -24 / 2  

x2 = -12

x= 6,-6

sale -6 ya que es la menor raiz