SOLUTION: How do I find all zeros in f(x) = x^3 + 1?

Question 934640: How do I find all zeros in f(x) = x^3 + 1?

Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!

set and use rule: ; in your case and

solutions:

if => -real solution

if -for this one, use quadratic formula:

complex solutions:

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I find all zeros in f(x) = x^3 + 1?
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x^3+1 is divisible by x+1
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x^3+1 = (x+1)(x^2 - x + 1)
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Solve:: (x+1)(x^2-x+1) = 0
If x+1 = 0, x = -1
OR
If x^2-x+1 = 0
x = [1 +- sqrt(1-4*1*1)]/2
x = [1+sqrt(-3)]/2 = (1+isqrt(3))/2
OR
x = (1-isqrt(3)]/2
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Cheers,
Stan H.
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