Hi. Here I have questions for my assignment about solving quadratic equations using different methods. I have only ever done a few questions on quadratic equations and I dont't understand them.

5. Solve by factorisation:

(a) x2 + 2x + 1 = 0

(b) x2 – 4 = 0

(c) 2x2 – 7x – 4 = 0

6. Solve by quadratic formula to 2 decimal places:

(a) 3x2 – 7x + 3 = 0

(b) x2 + 4x + 6 = 12

7. The diagram shows the graphs of y = x2 – x, y = x + 2, y = 8 and y = -2x + 4.

Use the graphs to find the solutions to:

(a) x2 – x = 0

(b) x2 – x = x + 2

(c) x2 – x = 8

(d) x2 – x = -2x + 4

(e) x2 – x – 8 = 0

(f) x2 + x = 4

8. Use graphical methods to solve the following:

(a)x2 + 3x = -2 for the range -4

__<__ x

__<__ 2

(b)2x2 + 5x = -2 for the range -3

__<__ x

__<__ 0

(c)x2 + 3x = x + 4 for the range -4

__<__ x

__<__ 4

As you can see there are quite a few here. So if anyone wouldn't mind could you either tell me the answes whilst helping me understand how you got the answers i.e showing workings or could you help me understand how to get answers to the questions I have listed above. Thanks