Question

Use the quadratic formula to solve the equation.
-3X2 – X- 3= 0

Answer 1

Answer:
`\bold{-(1)/(6)\pm -(√(35))/(6)i}`

Explanation:

-3x² - x - 3 = 0

a=-3 b=-1 c=-3

`x=(-b\pm √(b^2-4ac))/(2a)\\\\\\x=(-(-1)\pm √((-1)^2-4(-3)(-3)))/(2(-3))\\\\\\.\quad =(1\pm √(1-36))/(-6)\\\\\\.\quad =(1\pm √(-35))/(-6)\\\\\\.\quad = (1\pm i√(35))/(-6)\\\\\\.\quad =\large\boxed{ -(1)/(6)\pm (-√(35))/(6)i}`