Math, asked by suvernadandekar56, 1 month ago

if x = 5-√3 / 5-√3 and y = 5+√3 / 5-√3 then evaluate x ² - y ²​

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Answers

Answered by samsneh
0

Answer:

x=

5

+

3

5

3

x=

5

+

3

5

3

×

5

3

5

3

=

2

5+3−2

15

=4−

15

y=

5

3

5

+

3

y=

5

3

5

+

3

×

5

+

3

5

+

3

=

2

5+3+2

15

=4+

15

Now,

x

2

+y

2

−5xy

=(4−

15

)

2

+(4+

15

)

2

−5(4−

15

)(4+

15

)

=(16+15−8

15

)+(16+15+8

15

)−5(4−

15

)(4+

15

)

=62−5(16−15)=62−5=57

Step-by-step explanation:

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