Question

If x = 3+√8, thenwhat is value of x²+1 / x²

Answer 1

Answer:

$\frac{1}{x} = \frac{1}{3 + \sqrt{8} }$

$= \frac{1}{3 + 2 \sqrt{2} } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} }$

$= \frac{3 - 2 \sqrt{2} }{9 - 8}$

$= 3 - 2 \sqrt{2}$

Now

${x}^{2} + \frac{1}{ {x}^{2} } = {(x + \frac{1}{x}) }^{2} - 2$

$= (3 + \sqrt{8} + 3 - \sqrt{8} ) - 2$

$= 6 - 2$

$= 4$

Answer 2

Answer:

x = 69000073382

y = 789333

h = 6788