How do i solve quadratic equations?

Quadratic equations have a variable usually the letter x (but it could be any letter or symbol in theory).The value of x is unknown but you can work it out after following a few simple steps. Here is an example of a quadratic equation:x2+ 5x+10= 4 1) First we need to set the equation equal to 0 so we subtract 4 from both sides of the equals sign x2+5x+6=02) Now we can factorise the equation. This means splitting the equation into brackets which are factor pairs.(x + 2 ) (x + 3 ) = 03) In order for the whole equations to equal 0 either (x + 2) must equal 0 or (x + 3) must equal 0. This is because any number multiplied by 0 will always equal 0.Therefore:x + 2= 0 or x + 3= 0X = -2 or -3

CH

Related Maths GCSE answers

All answers ▸

Shape ABCD is a parallelogram. Y is the mid-point of AB and Z is on BC such that BZ=1/2ZC. Given that AB=a and BC=b, describe, in terms of a and b: a) AC b)CY c)YZ


You are given sets A: {2,4,6,8,10,12} and B: {1,3,5,7,9,11} explain why A∩B = ∅


Make x the subject of the equation: 2x+7=5x


How can I solve quadratic equations by completing the square?