Question

X = 3 + ROOT 7/2
FIND : 4X^2 + 1/x^2

Answer 1

Answer:

The value of is .

Step-by-step explanation:

Given, 2x = 3 +

Squaring both sides,

................(i)

...................(ii)

Now,

[Using equation(i) & (ii)]

Hence, the value of is .

Answer 2

x=3+√7/2

p(x)=4x^2 +1/x^2

    =4(3+√7/2)^2 + 1/ (3+√7/2)^2

    =4(9+7/2+6√7/2) + 1/(9+7/2+6√7/2)

    = 4+1/(9+7/2+6√7/2) [After taking LCM (9+7/2+6√7/2) ]

    =5/(18+7+6√14/2)

    =10/25+6√14

Then Rationalise

10(25+9√14)/(25)^2-(6√14)^2

250-90√14/625-504

250-90√14/121