if `x^3+ax+1=0 `and `x^4+ax^2+1=0` have common root then the exhaustive set of value of `a` is

If the equations x^(5) + ax + 1= 0 and x^(6) + ax^(2) + 1= 0 have a common root , then the value of ' -3a ' is equal to ______.

If x^(3)+ax+1=0 and x^(2)+ax+1=0 have a common roots then the value of |a| can be equal to

If the quadratic equation 3x^(2) + ax+1=0 and 2x^(2) + bx+1=0 have a common root , then the value of the expression 5ab-2a^(2)-3b^(2) is

If equations x^2-5x+5=0 and x^3+ax^2+bx+5=0 have common root then a+b=

If x^(2)+4ax+3=0 and 2x^(2)+3ax-9=0 have a common root,then the value of a,the common root are

If x^(2)+ax+bc=0 and x^(2)+bx+ca=0 have a common root,then a+b+c=1

The equation 2^(2x) + (a - 1)2^(x+1) + a = 0 has roots of opposite sing, then exhaustive set of values of a is