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Label the two equations. x 2 + 8x + y 2 = 84 (1) x - y = 10 (2) Rearrange (2) to get y = x - 10 and substitute for y in (1) to get x 2 + 8x + (x - 10) 2 = 84. Expanding and collecting like terms gives 2x 2 -...

Factorise the quadratic by finding two numbers that add to make -7 and multiply to make 10. (i.e. -2 and -5). So x^2 - 7x + 10 = (x - 2)(x - 5) </= 0. Sketch the quadratic to see where it is negative or z...

First, let's understand when to use the pluperfect. The pluperfect is a tense expressing a past action, which is before another past action. For instance, "J'allais a la piscine car j'avais fini le dîne...

In wake of the Brexit fallout, this question is particularly unclear at present, as changes to our relationship with the European courts reamin undecided. However, looking at just the national level there ar...

The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for an...