Question

Asus .If x,=√5+2then the value of x-1/x is
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Answer 1

Answer:

Given

x = $\sqrt{5} +2$

now $x - 2 = \sqrt{5}$

Squaring on both sides,

$(x-2)^{2} = (\sqrt{5})^{2}$

[tex]x^2 + 4 - 4x = 5 \\ x^2 - 4x - 4 - 5 = 0 \\ x^2 - 4x - 1 = 0\\ x^2 - 1 = 4x\\ [/tex]

Dividing by x on both sides, we get

⇒ $x-1/x = 4$

∴The value of  x - 1 /x = 4

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