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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...

(a) If the sequence = p , 5p-8 and 3p+8 is an arithmetic sequence then the difference between successive terms must be constant.e.g. (5p-8)-(p) = (3p+8)-(5p-8)=> 4p-8 = -2p+16 => 6p = 24 => p=24/...

We start off by constructing simultaneous equations as there are two variables - a and d - that we do not know. We use the formula:a_n = a + (n-1)di) 11.1 = a + 9dii) 7.1 = a + 49d
i) - ii)...