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A quadratic equation is written in the form: ax² + bx + cTo factorise, we need to know what 2 numbers multiply to make ac and add to make bac= 8b=64 x 2=8 4+2 = 6We replace b for these two numb...

1. ×2 --> 4x + 14y = 241) - 2) --> 4x + 14y - 4x = 24 - 14 - (-4y) 14y = 10 + 4y10y = 10 --> y = 14x = 14 - 4 (1)x = 10/4 = 2.5x = 2.5 & y= 1

Can either differentiate or using the completing the square method. Differentiation not covered at GCSE so completing the square should be done to get -((x+5/2)²+15/4). To find the max point we...

The easiest way to solve this is to split the fraction into partials.Using partial fractions, we get A/(x-3)+B/x=x+3/(x(x-3)) implies Ax+B(x-3)=x+3We want to find the values of A and B that solve this, so...

We want to start with “the square of an odd number” and show something. Remember that any odd number can be expressed as 2n+1 (an even number is 2n, and any odd number is 1 larger than an...