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Draw the rectangle and put on the measurements Draw on the diagonal Find the right angled triangle Pythagoras tells us a²+b²=c² where c is the longest side which is what w...

Answer: a(5-3a)Explanation: We take the highest common factor of both of the terms, which is a and we put it outside of the bracket. Then, in the bracket we put two terms that when multiplied by a, the pr...

j = 2, k = 7

We can tackle this question by completing the square. Completing the square allows us to write a quadratic equation (x^2+10x+3) in the simpler form (x+a)^2+b.To complete the square, first we need to find ...

A quadratic equation such as 6x² + x - 35 = 0 may appear much harder to solve than a simpler equation which students might be more used to, such as x² + 5x + 6 = 0. In reality, there...