Find all roots of `X^(5)-1=0.`

Find the roots of 3x^(2) - 5x - 12 = 0 .

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) .

Find all roots of the equation X^(6)-X^(5)+X^(4)-X^(3)+X^(2)-X+1=0.

Find the nature of the roots of x^(2)-x+1=0

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

Find all roots of the equation x^4+2x^3-16x^2-22x+7=0 , if one root is 2+sqrt3

If x=1 is a root of x^(2)+kx+5=0 ,

Find the common roots of x^12-1=0 and x^4+x^2+1=0

Find the equation whose roots are reciprocals of the roots of 5x^(2)+6x+7=0 .

For alt=0 , determine all real roots of the equation (1986, 5M) x^2-2a|x-a|-3a^2=0