[" Fy roots of the eq "n(a-b)a^(2)+(c-a)n+],[" the abfe are in "b-cy=0" are equal "]

If one root of the equation x^(2)+Ax+12=0 is 4 and the roots of x^(2)+2Ax+B=0 are equal,then N value of B is

If alpha, beta are the roots of the equation ax^(2) -bx +c=0 then equation (a+cy)^(2) =b^(2) y has the roots

If alpha, beta are the roots of the equation ax^(2) -bx +c=0 then equation (a+cy)^(2) =b^(2) y has the roots

If a, a_1 ,a_2----a_(2n-1),b are in A.P and a,b_1,b_2-----b_(2n-1),b are in G.P and a,c_1,c_2----c_(2n-1),b are in H.P (which are non-zero and a,b are positive real numbers), then the roots of the equation a_nx^2-b_nx |c_n=0 are (a) real and unequal (b) real and equal (c) imaginary (d) none of these

If one root of the quadratic equation ax^(2) + bx + c = 0 is equal to the n^(th) power of the other root , then show that (ac^(n))^(1/(n+1)) + (a^(n)c)^(1/(n+1))+b = 0

If one root of the equation ax^(2)+bx+c=0 is equal to then ^(th) power of the other,then (ac^(n))^((1)/(n+1))+(a^(n)c)^((n+1)/(n+1))+b is equal to

If alphaa n dbeta are roots of the quadratic equation a x^2+b x+c=0 and a+b+c >0,a-b+c >0&c<0,t h e n[alpha]+[beta] is equal to (where [dot] denotes the greatest integer function) (a) 10 (b) -3 (c) -1 (d) 0