How do you do quadratic equations?

You can solve a quadratic equation in lots of different ways depending on what type it is A quadratic equation is any equation in the form ax 2 bx + c = 0 (rather than y = mx + c (linear equation), ax 3 bx 2 cx + d = 0 (cubic equation) or ax 4 bx 3 cx 2 dx + e = 0, etc. ). An example of a quadratic equation is 3x 2 5x - 4 = 0. A = 3, be = 5 and c = -4.

You can also get quadratic equations in forms such as i) x 2 4x + 2 = 0, ii) x 2 4x = 0, iii) x 2 2 or iv) 5x 2 x + 1 = 2x - 4. They are still quadratic because i) a = 1, ii) c = 0, iii) be = 0 and iv) be = 1 and if you do some rearranging, you get x 2 x + 5 = 0.In general, in quadratic equation, the x-term's highest power is 2 The easiest type of quadratic equation to solve is x 2 yx. For example, if you have x 2 3x = 0, you solve it by doing this: x(x + 3) = 0 Factorise If x multiplied by x + 3 = 0 then either x = 0 or x + 3 = 0 Therefore x = 0 or -3 In almost all quadratic equation, you end up with two answers because when you square a number, that number and the same negative number (e.g. 5 and -5) both give the same answer, therefore you can have 2 answers.

On a quadratic graph, it is a curve going up then down or visa versa, therefore, it must cross the x-axis twice (unless be 2 4ac is a negative number because then you have to start using the square roots of negative numbers and therefore i), this is the same answer as solving it mathematically and is how you solve equations graphically. The only time that you have one answer is if after you factorise, you end up with something like (x - 2)(x - 2) = 0 where both brackets are the same. In this case the answer is therefore only 2.

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