SOLUTION: I am to find all the zeros of the equation. -x^3 + x^2 -3x + 3 = 0 I need to write the formula to do it. Here are the options for answers: a) sqrt of 3,

SOLUTION: I am to find all the zeros of the equation. -x^3 + x^2 -3x + 3 = 0 I need to write the formula to do it. Here are the options for answers: a) sqrt of 3, - sqrt of 3, 1 b) i s

Question 752745: I am to find all the zeros of the equation.
-x^3 + x^2 -3x + 3 = 0
I need to write the formula to do it. Here are the options for answers:
a) sqrt of 3, - sqrt of 3, 1
b) i sqrt of 3, -1
c) i sqrt of 3, -i sgrt of 3, -1
d) i sqrt of 3, -i sqrt of 3, 1
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
-x^3 + x^2 -3x + 3 = 0
x^3 - x^2 +3x - 3 = 0
(x^3 - x^2) + (3x - 3) = 0
x^2(x-1) + 3(x-1) = 0
(x-1)(x^2+3) = 0
x = {1, +-sqrt(-3)}
x = {1, isqrt(3), -isqrt(3) }
.
Answer: D

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