**?? - 2015 q6 ****Answers**

6.

Figure 1 is a sketch showing part of the curve with equation

and part of the line with equation

(a) Show that the

*y*= 17 –*x*. The curve and the line intersect at the point*A*.(a) Show that the

*x*coordinate of*A*satisfies the equation(3)

(b) Use the iterative formula

(b) Use the iterative formula

to calculate the values of

*x*_{1},*x*_{2}and*x*_{3}, giving your answers to 3 decimal places(3)

(c) Use your answer to part (b) to deduce the coordinates of the point

(c) Use your answer to part (b) to deduce the coordinates of the point

*A*, giving your answers to one decimal place. (2)