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

Find the common root of x^2-3x+2 =0 and x^2+x-2 =0

The common roots of the equation x^(12)-1=0,x^4+x^2+1=0 are

If x=1 is a common root of equations ax^2+ax+3=0 and x^2+x+b=0 then ab=

Find the roots common to the equations x^5-x^3+x^2-1=0 and x^4= 1 .

find the roots x^(11)-x^7+x^4-1=0

If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0 , then a b=

Find the equation whose roots are the squares of the roots of x^4 +x^3 +2x ^2 +x+1=0

If ac and B are the roots of the equation 4x^2-19x + 12=0 , find the equation having the roots (1)/(alpha) and (1)/(beta)

The value of a for which the equation x^3 + ax + 1 = 0 and x^4+ ax + 1 = 0 have a common root, is

The number of distinct real roots of x^4 - 4 x^3 + 12 x^2 + x - 1 = 0 is :