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Expand and Simplify 3x(8y-2) - 4y(6x -3) + 2x = 0

1) We will expand the function by multiplying each bracket by its coefficients. Lets divide the equation in two parts to make it a bit simpler: 3x(8y-2) = 3x 8y + 3x (-2) = 24xy - 6x -4y(6x - 3) + 2x = -4y 6...
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Answered by Teresa U. • Maths tutor
9635 Views

Solve x^​2​ - 10x + 21 = 0 through the following methods: Factorisation, Completing the Square and using the Quadratic Formula

There are three ways of solving quadratic equations: Factorisation, Completing the Square and using the Quadratic Equation. All these methods are correct and it is up to you to choose which one you prefer to...
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Answered by Teresa U. • Maths tutor
30018 Views

Sketch the curve y = (x^2 - 9)(x - 2)

When it comes to curve sketching, there are a number of tests that you can do to find out crucial characteristics about the curve. They are following: 1. Setting x = 0 will give you the points at which the c...
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Answered by Dan S. • Maths tutor
7166 Views

Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.

This question makes good use of the trigonometric identities tan 2 x + 1 = sec 2 x and 1 + cot 2 x = cosec 2 x which can be easily recited in the exam by using the identity sin 2 x + cos 2 x = 1 and then div...
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Answered by Dan S. • Maths tutor
13257 Views

Find the gradient of the line 4x+9y=10.

There are two approaches to this problem. Firstly, you could rearrange the equation so that you have the general equation of a line, y=mx+c, where m is the gradient that you are looking for! When we rearrang...
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Answered by Dan S. • Maths tutor
5314 Views