F.4 Maths Quadratic Equation
1. If the equation x² + 4x - k = 2 has no real roots, find the range of the values of k.
2. Let k be a non-positive integer. If the equation 9x² + kx + 25 = 0 has one double real root, the k = ?
3. Let a be a constant. Solve the equation (x + a)(x + a - 1) = (x + a).
4. Solve (2x + 3)x = 4(x + 1)
5. Solve the following quadratic equations by using completing the square.
(a) x² - 18x + 5 = 0
(b) 3x² + 24x - 10 = 0