The roots of `5x^(2) - x + 1 = 0` are

alpha and beta are the roots of x^(2) - 5x - 1 = 0 . Complete the following activity to find the value of x^(2) + beta^(3) .

Let alpha and beta be the roots of x^2 - 5x - 1 = 0 then find the value of (alpha^15 + alpha^11 + beta^15 + beta^11)/(alpha^13 + beta^13) .

Let alpha and beta be the roots of x^2 - 5x - 1 = 0 then the value of (alpha^15 + alpha^11 + beta^15 + beta^11)/(alpha^13 + beta^13) is

If alpha, beta are the roots of 2x^(2) + 5x + 2 = 0 , then the equation with roots (1)/(alpha+1), (1)/(beta+1) is

If alpha, beta are the roots of 2x^(2) + 5x + 2 = 0 , then the equation with roots (1)/(alpha+1), (1)/(beta+1) is

If k_(1) and k_(2) are roots of x^(2) - 5x - 24 = 0 , then find the quadratic equation whose roots are -k_(1) and -k_(2) .

If the roots of 5x^(2)-kx+1=0 are real and distinct then

Assertion (A): If alpha, beta are the roots of x^(2)-x+1=0 , then alpha^(5)+beta^(5)=1 Reason (R) : The roots of x^(2)-x+1=0 are omega,omega^(2) .

The roots of 5x^2 -3x +2=0 are