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The general format for an equation of this type is ax²+bx+c Firstly you should factor the equation. Since in the example given a=1 you know that there will be a single x term in each factor. So...

'Rationalise the denominator' means that we need to express the fraction in a way which does not have a surd on the bottom. A surd is a way of expressing an irrational number. For example √4 = 2 which is ...

There are three main ways to find the roots of a quadratic and they all have different benefits.Firstly, suppose your equation is in the form ax^2 + bx + c where a,b,c are all real numbers. Then you could...

1. Subtract the bottom equation from the top equation to get 3x-2x=9-5 (you don't see no y values in this equation as the y's have disappeared and cancelled eachother out as 3y-3y=0)2) So 3x-2x=9-5 equ...

First of all, to simplify this fraction, we need to factorise the top and bottom equations. We shall start with the top equation. Now looking at the equation: 3x² - 8x -3, we know that it's a q...