If a and b are the roots of the equation `x^(2) - kx + 16 = 0` and satisfy `a^(2) + b^(2) = 32,` then the value of k is

If a and b are the roots of the equation x^(2)- kx + 9 = 0 and satisfy a^(2) + b^(2) = 18 then the value of k is

If a and b are the roots of the equation x^2 - kx + 16 =0 satisfy a^2 + b^2 =32 , then the value of k is …………… .

If a and b are roots of the equation x^(2)-kx+16=0 and satisfy a^(2)+b^(2)=32 then the value of k is

Let a b be the roots of the equation x^(2)-kx+k=0 k in R .If a^(2)+b^(2) is the minimum then find the sum of the roots of the equation

If 2 is a root of the equation x^(2) + kx +12=0 and the equation x^(2)+kx +q=0 has equal roots, find the value of q.

Let a, b be the roots of the equation x^2 - kx + k = 0 , k in R . If a^2 + b^2 is the minimum then find the roots of the equation.

If sum of squares of the roots of the equation x^(2) + kx - b= 0 is 2b, what is k equal to ?

If the equation x^(2)+5kx+16=0 has no real roots then

If the roots of the quadratic equation x^(2)-2kx+2k^(2)-4=0 are real,then the range of the values of k is