If A={x:f(x)=0} and B={x:g(x)=0} then A∩B will be the set of roots of the equation
Let , f(x)=ax2+bx+c, g(x)=ax2+px+q where a,b,c,q,p, ϵ R and b ≠ p. If their discriminants are equal and f(x) = g(x) has a root , α then
Two distinct polynomial f(x) and g(x) are defined as follows:
f(x)=x2+ax+2;g(x)=x2+2x+a
If the equation f (x) = 0 and g(x) = 0 have a common root, then the sum of the roots of the equation f (x) + g(x) = 0 is