Question

If x+(1/x)=5 then find x+1/√x

Answer 1

Given: x + (1/x) = 5

To find: x + 1/√x

Solution:

• Now we have given x+(1/x)=5, taking LCM, we get:

           x² +  1 /x = 5

           x² + 1 = 5x

           x² - 5x + 1 = 0

           x = 5 ± √25 - 4(1) / 2

           x = 5 ± √21 / 2

• Now since x is positive as the final answer is positive, so negative solution of x will be discarded.

• So, x =  5 + √21 / 2

• Putting this value in given expression, we get:

          x+1/√x = (5 + √21 / 2) + (1 / √(5 + √21 / 2))

                      = (5 + √21 / 2) + (√2 / √(5 + √21)

                      = { (5 + √21)^3/2 + 2√2 } / 2√(5 + √21 )

Answer:

           So the value of x+1/√x is (5 + √21)^3/2 + 2√2 / 2√(5 + √21 ).

Answer 2

Hii

Plz refer to the attachment for answer..