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:
“I have met charming people, lots who would be charming if they hadn’t got a complex about the British and everyone has pleasant and cheerful manners and I like most of the American voices. On the other hand I don’t believe they have any God and their hats are frightful. On balance I prefer the Arabs.”
—Freya Stark (1893–1993)
“In dark places and dungeons the preacher’s words might perhaps strike root and grow, but not in broad daylight in any part of the world that I know.”
—Henry David Thoreau (1817–1862)
“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)