If x-1- 2 - then what is the value of x 4 -4 x 3 -4 x 2

The correct option is C 1 x^4 4x^3+4x^2 = x^2(x^2 4x+4) ⇒ x^2(x 2)^2⇒ (√(2)+1)^2(√(2) 1)^2 ⇒ [(√(2))^2 1]^2 = 1 [∵ (a+b)(a b) = (a^2 b^ ...

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Indices in Rational Form

If x=1+√ 2 ...

Question

If $x = 1 + \sqrt{2}$ , then what is the value of $x^{4} - 4 x^{3} + 4 x^{2}$

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Similar questions

f (x) = \frac{4 x + x^{4}}{1 + 4 x^{3}}

g (x) = ln (\frac{1 + x}{1 - x})

f \cdot g (\frac{e - 1}{e + 1})

2 x^{3} + 2 x^{2} - 7 x + 72, when x = \frac{3 - 5 i}{2}

x^{4} - 4 x^{3} + 4 x^{2} + 8 x + 44, when x = 3 + 2 i

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 9, when x = - 1 + i \sqrt{2}

x^{6} + x^{4} + x^{2} + 1, when x = \frac{1 + i}{\sqrt{2}}

2 x^{4} + 5 x^{3} + 7 x^{2} - x + 41, when x = - 2 - \sqrt{3} i

y = x + \frac{1}{x}

x^{4} + x^{3} - 4 x^{2} + x + 1 = 0

2 x^{3} + 2 x^{2} - 7 x + 72, when x = \frac{3 - 5 i}{2}

x^{4} - 4 x^{3} + 4 x^{2} + 8 x + 44, when x = 3 + 2 i

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 9, when x = - 1 + i \sqrt{2}

x^{6} + x^{4} + x^{2} + 1, when x = \frac{1 + i}{\sqrt{2}} .

x < 1

\frac{1}{1 + x} + \frac{2 x}{1 + x^{2}} + \frac{4 x^{3}}{1 + x^{4}} + . . . . \infty

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