Quadratic Equations

If the roots of the equation x² - 5x + 6 = 0 are α and β, then α + β equals

If α and β are the roots of x² - px + q = 0, then the equation whose roots are α² and β² is

For what value of k does the equation x² + kx + 16 = 0 have equal roots?

If α, β are roots of x² - 3x + 1 = 0, then the value of α³ + β³ is

The set of all complex numbers z satisfying the equation given by the ratio condition arg of the qua...

If the equation x^2 - (k - 3)x + k = 0 has both roots real, then the set of all real values of the p...

Among all complex numbers z lying on the circle defined by |z| = 1, the maximum value attained by th...

If alpha and beta are roots of x^2 - 2x + 4 = 0, then the value of the symmetric expression alpha cu...

The values of the real parameter m for which the quadratic equation (m + 1)x^2 + 2(m + 3)x + (m + 8)...

For any complex number z, the expression z multiplied by its conjugate z-bar is always equal to whic...

If two complex numbers have moduli 2 and 5 and arguments 40 degrees and 80 degrees respectively, the...

If the two quadratic equations x^2 + bx + c = 0 and x^2 + cx + b = 0, with b not equal to c, share e...