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Currently, we know that:f(x) = x²To find the equation of the tangent you need the gradient and the y-value of the graph at x = 3So, you can differentiate f(x):f'(x) = 2xlet x = 3: f(x) = 9 f'(x...

We first multiply both sides of the equation by (3y+4) to get x(3y+4)=2y+1. We then expand the left hand side to get 3xy+4x=2y+1. By rearranging the equation we get 3xy-2y=1-4x. We then factorise the left...

First we need to draw our two brackets where the terms will go, we set them out like so ( )( ). Now looking at the coefficient of the x squared term, we se that it is one, therefore, it is formed by a mul...

A quadratic equation ax² +bx+c=0 will have only one unique solution if and only if b²-4ac=0. If we apply this to the equation in the question, we get that k²-24=0. If we s...

So, students should be able to solve basic linear equations as shown above. The aim in order to solve the equation would be to get all of the x values onto one side of the equation and all of the integers...