Quadratic Equations — Practice Set 1

Which method is most efficient for solving $x^2 - 5x + 6 = 0$?

What is the discriminant of $2x^2 + 3x - 2 = 0$?

Complete the square — $x^2 - 6x + \square = (x - 3)^2$

Solve $x^2 - 9 = 0$. Give the positive root.

If $x^2 + bx + 16 = (x + 4)^2$, what is $b$?

Solve $2x^2 + 5x - 3 = 0$ using the quadratic formula. Show your full working.

The equation $x^2 + kx + 9 = 0$ has exactly one solution. Find all possible values of $k$.