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Surds are exact - they can’t be rewritten as a decimal or fraction without introducing a rounding error. If we’re using numbers in a calculation, keeping them as exact as possible until we round to the re...

We know that two vectors are perpendicular when their dot product is equal to 0. As you can see from the SQA Higher Maths formula sheet, the equation for the dot product is; A.B=a1b1+a2b2+a3b3.To...

To solve this question we want to find the range of values that x can be to make the statement true. First we must treat it like a normal quadratic equation and move all ...

First off, roots means solve for x. 0 multiplied by any number equals 0, therefore, either one of the brackets must itself equal 0.We can solve this by firstly setting 2x-5 = 0, and solving for x. (+ 5) t...

The standard equation of a circle is in the form (x-a)^2+(y-b)^2=r^2, where the coordinates of the centre of the circle is (a,b) and the radius of the circle is r. Therefore, you must put the given equati...