A quadratic polynomial with real coefficients has as a root. If the other root has the form , where and are real numbers, what is the value of ?
If what is ?
Details and assumptions
is the the imaginary unit, defined by .
Suppose that where is the imaginary number that satisfies and What is the value of ?
Suppose that where is the imaginary number that satisfies . What is the value of ?
Details and assumptions
Assume and .
It is given that the cubic polynomial has real coefficients, and has a complex root . If the sum of all the complex, non-real roots of can be written as , what is the value of ?