How do you find the zeros, real and imaginary, of y= -x^2-2x-4 using the quadratic formula?

1 Answer
Aug 8, 2017

x==1+sqrt3i
x=-1-sqrt3i

Explanation:

Identify the values of a,b & c and substitute in using the quadratic formula: x = (-b \pm sqrt(b^2-4ac)) / (2a)

a=-1

b=-2

c=-4

x = (-(-2) \pm sqrt((-2)^2-4(-1)(-4))) / (2(-1))

x = (2 \pm sqrt(4-16)) / (-2)

x = (2 \pm sqrt(-12)) / (-2)

x = (2 \pm 2 sqrt(3)i) / (-2)

x = -1 \pm sqrt(3)i

x=1+sqrt3i, x=-1-sqrt3ilarr Final solutions