1. Quadratic equations can be solved using a variety of different methods. All these methods will be explained in great detail on the following slides. By Anika Fiaz

2. Factorising!!! x² +2x-15 First of all, we have to find two numbers which multiply to give -15 and add up to give 2. The following are: +1 -15, -1 +15, +3 -5, -3 +5 You try all of them and see which ones you multiply together, gives you an answer of -15 and which ones when you add, gives you +2. The one which fits, is -3 and +5 You then put these values into brackets. (x-3) (x+5) This would be your final answer. (This is just factorising and not solving).

3. Completing the square!!! x² + 8x + 7 = 0 (x + 4) 2 – 9 = 0 (x + 4) 2 = 9 x + 4=30R x + 4=-3 x = -1x = -7

4. Quadratic Formula!!! Substitute the numbers into the place of the a, b and c. For example, 3x² - 5x=1 a= 3, b=-5 and c= -1 Then you substitute these values into the formula.

5. Solving using graphs!!! Quadratic equations can be solved using a graph. Plot the points on a graph. Then you check where the curve crosses the x-axis and these would be your final solutions. You should have two solutions. If there is a straight line also involved as well as a curve, you check where the curve crosses the line (at 2 places) and where it does cross the line, would be your two solutions.

6. The End!!! Thankyou for watching!!!