SOLUTION: How do you final all complex solutions and write all answers in both trigonometric and rectangular form?
{{{x^3-8=0}}}
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-> SOLUTION: How do you final all complex solutions and write all answers in both trigonometric and rectangular form?
{{{x^3-8=0}}}
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Question 1116764: How do you final all complex solutions and write all answers in both trigonometric and rectangular form?
Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52787) (Show Source):
Equation = 0 has three complex solutions, that are the roots of degree 3 of 8:
trigonometric form complex number form
r*(cos(t) + i*sin(t)) a + bi
1) z = 2 = 2*(cos(0°) + i*sin(0°) = 2 + i*0;
2) z = 2*(cos(120°) + i*sin(120°)) = 2*((-1/2) + i*(sqrt(3)/2)}}} = -1 + i*sqrt(3);
3) z = 2*(cos(240°) + i*sin(240°)) = 2*((-1/2) - i*(sqrt(3)/2)}}} = -1 - i*sqrt(3);
