Graphical Solutions To Equations - Difficult Exam Questions

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If you get a question such as this, remember that you want to go from the second equation given, to the original one.

So, in this case you want to go from:

x^3 - 6x - 2 = 0 --> y = x^3 - 7x + 9

So the working would be:

x^3 - 6x - 2 = 0

x^3 - 6x + 9 = 11

x^3 - 7x + 9 = 11 - x

y = 11 - x

From this you can draw the line "y = 11 - x" on the graph and find the x coordinates of the points of intersection to obtain the answer.

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