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How do you factorise a quadratic equation?

You should already be familiar with multiplying out brackets to arrive at a quadratic equation, which will look something like the following: (x + 2)(x + 3) = x²

Answered by Eleanor M. • Maths tutor

2888 Views

How do you find the original price of a sale item when a percentage decrease has been applied?

Let's use an example, for instance, a pair a trainers in the sale are advertised as having 25% off, and are now a price of £24. How would you find the original price of the trainers before the sale?Firstl...

Answered by Eleanor Grace G. • Maths tutor

2826 Views

For what values of x is 2x^2 - 11x - 6 > 0 ?

The first step is to factorise the equation into two brackets. In this case we get (2x+1)(x-6)Now, for this to be greater than zero we need both brackets to be greater than zero, or both brackets to be le...

Answered by Rowan K. • Maths tutor

3369 Views

Point K(8,-5) lies on the circle x^2 +y^2 - 12x - 6y - 23. find the equation of the tangent at K.

First, find the centre of the circle. Since we know the equation of the circle, we know that the centre (-g,-f) comes from the part of the equation -12x-6y, where -12=2g and -6=2f. Therefore, to get the c...

Answered by Catriona M. • Maths tutor

2255 Views