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First we need to look at the quadratic formulas separately and factorise them. (x^2-5x+4) the sum is -5 and the product is 4, we need to find numbers that add to get -5 and multiply to get 4, which is -4,...

When multiplying fractions you multiply the numerators together to get the resulting numerator, and multiply the denominators to get the denominator. In this case you would have (2/15 x 15/22) when writte...

To solve this problem I would begin by rearranging the first equation to equal X.1) x + y = 1 -> x = 1 - yI would then substitute this into the second equation.2) 2x + 3y = 9 -> 2(1-y) + 3y = 9Then ...

This is a question from Higher Tier and involves 1) realising that 2nd difference is a constant: 6. 2) knowing that constant 2nd difference implies the sequence is quadratic. 3) remembering or proving tha...

We are trying to get to the form of x² + 5x + 6 = ( x + a)(x + b)6 must also factorise as 6x1 or 3x2 Let's focus first on the x terms : 5x is the sum of ax + dbx and the coefficient of these tw...