Question

If x = 5 -2V6 , find x² +1/x?​

Answer 1

Answer:

If x=1/(x-5), where x is not equal to 5, what will be the value of x²-(1/x²)?

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x=1/x-5 is not equal to 5

x^2 --(1/x^2)

1/ (x-5)^2 -- 1/1 (x-5)^2

=(1 --( x-5)^4)/ (x--5)^2

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x=1/(x-5)

Or x-5=1/x since x is not equal to zero

Or x-1/x=5 ………(1)

Squaring both sides

(x-1/x)^2=25

Or x^2–2×x×(1/x)+1/(x^2)=25

Or x^2–2+1/(x^2)=25

Or x^2+1/(x^2)=25+2=27

Adding 2 to both sides we have

x^2+2+1/(x^2)=29

Or x^2+2×x×(1/x)+1/(x^2)=29

Or (x+1/x)^2=29

Or x+1/x=+-(29)^(1/2)………(2)

Multiplying (1) and (2) we have

x^2–1/x^2=+-5×(29)^(1/2)

Step-by-step explanation:

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Answer 2

Answer:

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