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The 2 equations are: 1) x² + y² = 29 2) y-x=3 In this kind of simultaneous equation, you cannot take it away from each other. Instead, you need to substitue. To do so, rearrange the ...

To explain this question, I would first draw a digram of a circle. Then I woud add a chord and create triangles with vrtices at the circumference of the circle which all have the chord as a base. Next, I ...

x² +3x -4. (x + a) (x - b) x has no co-efficient so each is 1 x.  next find two numbers with a product of -4 and a sum of +3.  cannot be 2,2 as these numbers have a sum of -4, 0 or +...

To put this equation into partial fractions we need to consider it in the form: (5x + 4)/(x +2)(x - 1) = A/(x + 2) + B/(x - 1) where A and B are numbers we are trying to find. To do this we need to multip...

Here the key is to remember to differentiate with both x and y with respect to x, where the differential of y is dy/dx. Consider the first term, 3x² : This differentiates to 6x. This is done by...