Suppose we sketch the graph
We obtain the graph below.

We can use the graph to solve the equation
by finding the intersection of the graph with the
– axis, since this is where
Suppose we want to solve a different equation – for example,
We could sketch the graph of
and find the intersection of the graph with the
– axis. It is quicker however to subtract the equation from the expression of the graph above.
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minus
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equals
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Plotting the graph of
on the diagram above gives the diagram

The solution to
is where the
– values of the points where the graphs cross. These are
and![]()