Quadratic Equat...

Find the roots of each of the following quadratic equations by the method of completing the squares
$$2x^2 - 5x + 3 = 0$$

Find the solutions of $$3x^2 - 2\sqrt 6x + 2 = 0$$ by the method of completing the squares when $$x$$ is an irrational number.

Solve the equation $$x^2 - (\sqrt 3 + 1) x + \sqrt 3 = 0$$ by the method of completing the square.

Solve for $$y$$: $$ \sqrt 7 y^2 - 6y - 13 \sqrt 7 = 0$$

Find the roots of each of the following quadratic equations by the method of completing the sqaures:
$$x^2 - 6x + 4 = 0$$

Find the roots of the following quadratic equations, if they exist, by the method of completing the square. $$\displaystyle 2x^2 - 7x + 3 = 0$$

Determine the value of $$k$$ for which the quadratic equation $$4x^2 - 3kx + 1 = 0$$ has equal roots.

Determine k such that the quadratic equation $$x^2 + 7(3 + 2k)+(1 + 3k)x = 0$$ has equal roots

Which of the following is a quadratic equation?