Question

Find all the solutions to 3x^3 - 6x^2 + 30x - 20 = -20

Answer 1

Answer: Option (1)

Explanation:

`3x^3 - 6x^2 + 30x-20=-20\\\\3x^3 - 6x^2 + 30x=0\\\\3x(x^2 - 2x+10)=0\\\\`

So, either
`x=0` or
`x^2 -2x +10=0`

For the second case, we know x=0.

For the second case, we can use the quadratic formula.

`x=(2 \pm √((-2)^2 - 4(1)(10)))/(2)\\\\x=1 \pm 3i`