Solve 2x² − 7x + 3 = 0 using the quadratic formula, giving your answers correct to two decimal places.

Find the values of k for which x² + kx + 16 = 0 has equal roots.

Find the value of k for which the equation kx² − 6x + 9 = 0 has equal roots.

Find the nature of the roots of 4x² − 12x + 9 = 0 and solve the equation.

Show that the equation 3x² − 2x + 1 = 0 has no real roots.

Using the quadratic formula, solve 2x² + 5x − 3 = 0.

Solve x² − 2x − 8 = 0 and verify the roots by substitution.