(1) Complex Numbers

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9 Terms

1
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i =

√-1

2
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i² =

-1

3
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Conjugate of z= a + bi

z*= a - bi

4
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If α and β are roots, the quadratic equation is...

z² - (α + β)z + αβ = 0

5
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If b² - 4ac < 0 then the quadratic equation has…

2 distinct complex roots, neither of which are real

6
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For a cubic equation with real coefficients, either…

  • All 3 roots are real

  • 1 real root and a complex conjugate pair

7
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For a quartic equation with real coefficients, either…

  • All 4 roots are real

  • 2 real roots and a complex conjugate pair

  • 2 different complex conjugate pairs

8
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9
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