Question

If y =root2 +1
The what is ysquare + 1/ysquare

Answer 1

Answer:

Step-by-step explanation:√x + y =7 (1)

X + √ y = 11 (2)

Subtracting equation (1) from (2)

(x-y)-(√x-√y)=4

(x-y) can be written as (√x-√y)(√x+√y)

Thus

(√x-√y)(√x+√y)-(√x-√y)=4

(√x-√y)(√x+√y-1)=4=1x4=2x2

Since x and y are essentially integers; we have either

√x-√y=2 and √x+√y-1=2

i.e. √x-√y=2 and √x+√y=3 which do not provide integral solutions.

Only alternative

√x-√y=1and √x+√y=5

Add these and we get

2√x=6 OR √x=3 i.e. x=9

Subtracting above

2√y=4 0r y=4

Answer 2

Find 1/y and add y and 1/y
See tgis pic to understand better