If `2+3i` is one of the roots of the equation `2x^3-9x^2 + kx-13 = 0, k epsilon R,` then the real root of this equation

If 2+3i is one of the roots of the equation 2x^(3)-9x^(2)+kx-13=0,k varepsilon R, then the real root of this equation

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 2 is a root of the equation x^4+2x^3-3x^2+kx-4=0 , then k=

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

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

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 of the roots of the quadratic equation kx^2-10x+3=0 , find the value of k.

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.