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i =
√-1
i² =
-1
Conjugate of z= a + bi
z*= a - bi
If α and β are roots, the quadratic equation is...
z² - (α + β)z + αβ = 0
If b² - 4ac < 0 then the quadratic equation has…
2 distinct complex roots, neither of which are real
For a cubic equation with real coefficients, either…
All 3 roots are real
1 real root and a complex conjugate pair
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