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Over 2000 Pythagoras discovered that when a triangle has a right angle (90 degrees), and squares are made for each of the three sides, then the biggest square has the exact same area as the two other squa...

The question is asking for 'a' to be the subject and therefore our aim is to result in an answer with the form 'a='. The first step is to expand the brackets on the left hand side by multiplying 'a' by 5 ...

Since there is no further factorisation possible we use the quadratic formula x=[-b±√(b²-4ac)]/2a. From the equation in question we have  a=3, b=-7, c=3. Substituting into the quadratic formula...

2x² - x - 6 = 0

This must first be factorised - I use the 'box method' when the reciprocal of x² is >1. This is difficult to explain via writing but it inv...

This equation is asking us to find the value(s) of x that when substituted in place of x in the equation x²-4x+3 the computed value should equal 0. There three potential methods of solving this...