Search over 10,000 free study notes

The first step to solving any equation is to work out what kind of equation it is. As this particular equation has only x's and numbers, and it has a x² term, we know that it is quadratic.Now t...

[A] 2x + y = 18[B] x - y = 6Rearrange [A] to make y the subject 2x + y = 18minus 2x| y = 18 - 2xReplace the value y in [B] with the rear...

If we forget about the £150 more for a second then we can think of some very basic scenarios where the 5 : 2 ratio is satisfied. For example, Jon has £5 Nik has £2 or Jon has £10 Nik has £4 and so on. Fro...

Difference between each number is +2Therefore the sequence is 2n + C
When n = 1 the value is (2x1) + C = 2 + C = 5C = 36
nth term is 2n + 3
CHECK
3rd term should be...

 3 x² + 6 x + 3 = 0 . .../3 x² + 2 x + 1 = 0(x+1)²=0x+1=0x=-1PROOF3 (-1)² + 6 (-1) + 3 = 0