Question

If x= 7+4 V3 then x + -1/X
​

Answer 1

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If x=7+4

3

and xy=1 Find

x

2

1

+

y

2

1

Hard

Solution

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x=7+4

3

x

1

=

(7+4

3

)(7−4

3

)

7+4

3

[∴(a+b)(a−b)=a

2

−b

2

]

=

(7)

2

−(4

3

)

2

7−4

3

=

49−48

7−4

3

=

1

7−4

3

=7−4

3

Given, xy=1

y

1

=x

y

1

=7+4

3

⇒

x

2

1

+

y

2

1

=(7−4

3

)

2

+(7+4

3

)

2

⇒

x

2

1

+

y

2

1

=(7)

2

+4(

3

)

2

−2×7×4

3

×(7)

2

+(4

3

)

2

+2×7×4

3

⇒

x

2

1

+

y

2

1

=49+48+49+48

⇒

x

2

1

+

y

2

1

=194

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Answer 2

Answer:

right answer is 194

Step-by-step explanation:

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