Let `x_1 and x_2` be the real roots of the equation `x^2 -(k-2)x+(k^2 +3k+5)=0` then the maximum value of `x_1^2+x_2^2` is

Let x_1 and x_2 be the real roots of the equation x^(2) -kx +(k^(2) +7x+15)=0 if the maximum value of (x_1^(2) + x_2^(2)) is (18)/(x) , then find the value of x .

Let x_1 and x_2 be the real roots of the equation x^(2) -kx +(k^(2) +7x+15)=0 if the maximum value of (x_1^(2) + x_2^(2)) is (18)/(x) , then find the value of x .

If alpha and beta are the real roots of the equation x^(2)-(k+1)x-(k+2)=0, then minimum value of alpha^(2)+beta^(2) is

If alpha and beta are the real roots of the equation x^(2)-(k-2)x+(k^(2)+3k+5)=0,(k in R) Then the maximum and minimum values of alpha^(2)+beta^(2)

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then

If x=-2 is one of the roots of the quadratic equation x^(2)+x-2k=0, then find the value of k.

If one root of the equation 2x^2+2x+k=0 is (-1/3) then find teh value of k

If x=2 and x=3 are roots of the equation 3x^2-2k x+2m=0, find the value of k and m .

If the equation x^(2)+2(1+k)x+k^(2)=0 has equal roots, what is the value of k ?