Question

Resuelve las siguientes ecuaciones usando la fórmula general para resolver ecuaciones cuadráticas.

Answer 1

Respuesta:

a)x = (5±i√7)/16

b)x = (-1±i√47)/12

c)x = (-1±√17)/4

Explicación:

a)

8x² - 5x + 1 = 0

x = (-b±√(b²-4ac))/2a

x = (-(-5)±√(-5)²-4(8)(1))/2(8)

x = (5±√(25-32))/16

x = (5±√-7)/16

x = (5±i√7)/16

b)

6x² + x + 2 = 0

x = (-b±√(b²-4ac))/2a

x = (-1)±√((1)²-4(6)(2))/2(6)

x = (-1±√(1-48))/12

x = (-1±√-47)/12

x = (-1±i√47)/12

c)

2x² + x - 2 = 0

x = (-b±√(b²-4ac))/2a

x = (-1±√((1)²-4(2)(-2)))/2(2)

x = (-1±√(1+16)/4

x = (-1±√17)/4