Complex Conjugate Root Theorem
The complex conjugate root theorem states that if the coefficients of a polynomial are real, then the non-real roots appear in pairs of the type a ± ib.
For example, the equation x2 + 1 = 0 has roots ±i.
Read more about this topic: Properties Of Polynomial Roots
Famous quotes containing the words complex, root and/or theorem:
“In ordinary speech the words perception and sensation tend to be used interchangeably, but the psychologist distinguishes. Sensations are the items of consciousness—a color, a weight, a texture—that we tend to think of as simple and single. Perceptions are complex affairs that embrace sensation together with other, associated or revived contents of the mind, including emotions.”
—Jacques Barzun (b. 1907)
“And a man of tan engages
For the springtime of her pride,
Eats the green by easy stages,
Nibbles at the root beneath
With intimidating teeth.”
—Gwendolyn Brooks (b. 1917)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)