[" Let "alpha(a)" and "beta(a)" be the roots of the equation "],[(root(3)(1+a)-1)x^(2)+(sqrt(1+a)-1)x+(root(6)(1+a)-1)=0quad " where "]

Let alpha (a) beta (a) be the roots of the equations : (root(3)(1+a) -1)x^(2) + (sqrt(1 + a) - 1)x + (root(6)(1 + a) - 1) = 0 , where a gt - 1 . Then lim_(a rarr 0^(+)) alpha (a) and lim_(a rarr 0^(+)) beta(a) are :

Let alpha(a) and beta(b) be the roots of the equation , (root(3)(1+a)-1)x^2+(sqrt(1+a)-1)x+(root(6)(1+a)-1)=0 where a gt -1 . Then lim_(x rarr 0^+)alpha(a) and lim_(x rarr 0^+) beta(a) are

Let alpha(p) and beta(p) be the roots of the equation (root(6)(1+p)-1)x^(2)+(root(3)(1+p)+1)x+(root(9)(1+p)-1)=0 where p>-1 then lim_(p rarr0^(+))[alpha(p)+beta(p)] is equal to

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1)/(alpha)+(1)/(beta))=?

Let alpha, beta be the roots of x^(2)+x+1=0 . The equation whose roots are alpha^(25) and beta^(22) .

Let alpha and beta be the roots of x^(2)+x+1=0 , then the equation whose roots are alpha^(2020) and beta^(2020) is