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

For what value of k, the equation x^(2) + 4kx + 4 = 0 has equal roots?

If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to the sum of the squares of their reciprocals, then

If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k) - 1 = 0 is 7, then the roots of the equation are real for k equal to :

If the roots of the equation kx^2 + (k- 1) x - 1 = 0 are equal then find the value of k.

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

Find k if the sum of the roots of the quadratic equation 4x^2 + 8kx + k +9 = 0 is equal to their product.

If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equal to the sum of the squares of their reciprocals, then (a)/(c ) , ( b )/( a ) and ( c )/( b ) are in :

Find the value of k for which the roots of the quadratic equation 2x^(2) + kx + 8 = 0 will have equal value.