If `1/2` is a root of the equation `x^2+kx-5/4=0,` then find the value of k.

If x=5 is a root of equation kx^(2)=14x-5=0 , then find the value of k by completing the following activity.

If x=3 is one root of the quadratic equation x^(2)-2kx-6=0, then find the value of k

If -2 is a root of the equation 3x^(2)+7x+p=0, find the value of k so that the roots of the equation x^(2)+k(4x+k-1)+p=0 are equal.

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

If x=4 is one of the roots of the quadratic equation 3x^(2)+kx-2=0 , find the value of k.

If x = 3 is one root of the quadratic equation x^(2) - 2kx - 6 = 0 , then find the value of k .

If sin theta and sec theta are teh roots of the equation 2x^2+kx+1=0 then the value of k is

If x=3 is one root of the quadratic equations x^(2) -2kx -6=0 , then the value of k is.

If x=-4 is one of the roots of the quadratic equation kx^(2)+5x-12=0 , find the value of k.

If one root of the quadratic equation 2x^(2)+kx-6=0 is 2, find the value of k Also,find the other root.