Let α and β be the two roots of the quadratic equation x² - 4x + 1 = 0. Without solving the equation, find the value of α⁴ + β⁴.

MathematicsMediumHigh School (11–12)Algebra › Quadratic Equations JEE Main

Let $\alpha$ and $\beta$ be the two roots of the quadratic equation $x^2 - 4x + 1 = 0$ . Without solving the equation, find the value of $\alpha^4 + \beta^4$ .

Type your answer as a number (a decimal point is allowed). A wrong answer may cost marks.

← All Quizzes

← The complex number z satisfies |z| + z = 2 + i, where |z| is the modulus of z. Write z = a + ib with a and b real, and compare real and imaginary parts. What is z?In the Argand plane, write z = x + iy. Which equation describes the set of all points z that satisfy |z - 3| = |z + 3i|, that is, the points equally far from 3 and from -3i? →

More onAlgebra › Quadratic Equations

Discussion (0)

Loading…

Discussion (0)

Problems on this topic