Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2003 | May-Jun | (P1-9709/01) | Q#5

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Question

The function  is defined by , for  , where a and b are constants. It is given that  and .

     i. Find the values of a and b.

   ii. Solve the equation .

Solution


i.
 

We are given that;

We utilize the given data.

Subtracting both equations;

We can substitute  in any of the above two equations to find the value of . We choose;


ii.
 

We are given that;

Substituting values of  and , we get;

Now we find ;

To solve this equation, we equate it with ZERO;

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