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How do I solve a quadratic equation by factorising?

A quadratic equation is one that includes x 2 as the highest power of x. Factorising is achieved in 3 steps. Let’s consider the example x 2 -3x-3=1 1) Put the equation into the form ax 2 +bx+c=0 x 2 -3x-4=02...
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Answered by Shannon G. • Maths tutor
5670 Views

How do I solve equations like 3sin^2(x) - 2cos(x) = 2

To solve equations like this we need to get the equation in terms of one trigonometric function, ie one of sin(x), cos(x) or tan(x) It is usually easiest to get everything in terms of whatever the linear par...
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Answered by Elliot B. • Maths tutor
23296 Views

How do I expand brackets by multiplication?

It's worth remembering FOIL: First, Outside, Inside, Last.Say we have the following: (a+b)(c+d), where a,b,c and d are positive integers. Using FOIL, we have: (First) + (Outside) + (Inside) + (Last) ac + ad ...
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Answered by Liam D. • Maths tutor
7483 Views

How do I prove that an irrational number is indeed irrational?

[NOTE: An irreducible fraction (or fraction in lowest terms) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1.] Given that p is a prime, positive in...
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Answered by Liam D. • Maths tutor
10051 Views

How do I rationalise the denominator of a fraction which consists of surds?

[ Recall: the numerator of a fraction is the top number; the denominator refers to the bottom number. A surd is an irrational number, e.g. √3, √5, etc.]Given the following fraction:(a+√b)/(c-√b), where a,b a...
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Answered by Liam D. • Maths tutor
10747 Views