Paper 2 May/June 2006 MATHEMATICH (9709/2) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The curve with equation $y = \frac{6}{{{x^2}}}$ intersects the line $y = x + 1$ at the point $P$.
a) Verify by calculation that the x-coordinate of $P$ lies between 1.4 and 1.6.
b) Show that the x-coordinate of $P$ satisfies the equation
$x = \sqrt {\left( {\frac{6}{{x + 1}}} \right)} $.
c) Use the iterative formula
${x_{n + 1}} = \sqrt {\left( {\frac{6}{{{x_n} + 1}}} \right)} $,
with…