Use the formula and find the discriminant

1. Solve using the formula: x2 - 4x + 1 = 0. Give answers to 2 d.p.

2. Solve: 3x2 + 2x - 5 = 0

3. For x2 + kx + 9 = 0, find k if there is one repeated root.

4. Show that x2 - 2x + 3 = 0 has no real roots.

5. Solve: 5x2 - 3x - 1 = 0. Give answers in surd form.

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