If `x^2-3ax+14=0` and `x^2+2ax-16=0` has common roots then `a^4+a^2`=?

If x^(2)-6x+5=0 and x^(2)-3ax+35=0 have common root, then find a.

If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) is equal to

If a,b,c in R and the equation ax^2+bx+c = 0 and x^2+ x+ 1=0 have a common root, then

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 ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is 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 the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If the equation x^2+ax+bc=0" and " x^2-bx+ca=0 have a common root, then a+b+c =

If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b is equal to

If the equations ax^2 + bx + c = 0 and x^3 + x - 2 = 0 have two common roots then show that 2a = 2b = c .