Question

If x=2+3√2 then find the value of (x plus 14/x)​

Answer 1

Answer:

x+1x=2

(x+1x)2=22

x2+1x2+2=4

x2+1x2=2(1)

(x−1x)2=x2+1x2−2=2−2=0

(x−1x)=0

Heuristically,

x+1x=2

By observation, we come to know that above is possible for only x=1

⟹

(x−1x)=0

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Answer 2

Step-by-step explanation:

$x = 2 + 3 \sqrt{2}$

after adding 14/x ->

$3 \sqrt{2} + 2 + \frac{14}{x}$

$= > \frac{x(3 \sqrt{2}) + 2x + 14 }{x}$

$= > \frac{3 \sqrt{2}x + 2x + 14 }{x}$

Hope this will help you