Calculate the value of -1- where - is a root of equation x2-2bx-1-0-

The correct option is A 2b f(x)=x^ 2 2bx+1 #160; #160; f(α )=0 α #160; ^ 2 2bα +1=0 α #160; ^ 2 +1=2bα α #160; +1α =2b ...

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Standard XII

Mathematics

Euler's Representation

Calculate the...

Question

Calculate the value of $α + \frac{1}{α}$ where $^{'} α^{'}$ is a root of equation $x^{2} - 2 b x + 1 = 0$ .

0

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2 b

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- 2 b

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Data insufficient

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Solution

The correct option is A $2 b$
$f (x) = x^{2} - 2 b x + 1$ $f (α) = 0 α^{2} - 2 b α + 1 = 0 α^{2} + 1 = 2 b α α + \frac{1}{α} = 2 b$
the value of $α + \frac{1}{α}$ is $2 b$

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Calculate the value of α+1α where ′α′ is a root of equation x2−2bx+1=0.

The correct option is A 2bf(x)=x2−2bx+1 f(α)=0α2−2bα+1=0α2+1=2bαα+1α=2bthe value of α+1α is 2b

Calculate the value of $α + \frac{1}{α}$ where $^{'} α^{'}$ is a root of equation $x^{2} - 2 b x + 1 = 0$ .

The correct option is A $2 b$
$f (x) = x^{2} - 2 b x + 1$ $f (α) = 0 α^{2} - 2 b α + 1 = 0 α^{2} + 1 = 2 b α α + \frac{1}{α} = 2 b$
the value of $α + \frac{1}{α}$ is $2 b$