X is a rational number satisfying 1-x1-x-x2-x3-x4-31-32- Then 1-x-x2-x3-x4-X5 isA- 31-64B- 11-32C- 0-32 6D- 00-64

The correct option is C 6332 ...

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Standard XII

Mathematics

Definition of Functions

x is a ration...

Question

x is a rational number satisfying (1-x) (1+x+x²+x³+x⁴) = .

Then 1+x+x²+x³+x⁴+X⁵ is

$\frac{31}{64}$

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$\frac{31}{32}$

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$\frac{63}{64}$

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$\frac{63}{32}$

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Solution

The correct option is D
$\frac{63}{32}$

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Similar questions

Q. If

x

is a rational number satisfying

(1 - x) (1 + x + x^{2} + x^{3} + x^{4})

= \frac{31}{32} .

Then

1 + x + x^{2} + x^{3} + x^{4} + x^{5}

If $(1 - x) (1 + x + x^{2} + x^{3} + x^{4})$ is $\frac{31}{32}$ and $x$ is a rational number. Find the value of $1 + x + x^{2} + x^{3} + x^{4} + x^{5}$ .

Q. Five real numbers

x_{1}, x_{2}, x_{3}, x_{4}, x_{5}

are such that:

\sqrt{x_{1} - 1} + 2 \sqrt{x_{2} - 4} + 3 \sqrt{x_{3} - 9} + 4 \sqrt{x_{4} - 16} + 5 \sqrt{x_{5} - 25} = \frac{x_{1} + x_{2} + x_{3} + x_{4} + x_{5}}{2}

The value of

\frac{x_{1} + x_{2} + x_{3} + x_{4} + x_{5}}{2}

\int (x + x^{2} + x^{3} + x^{4})

dx is equal to

$x^{5} + x^{4} + x^{3} + x^{2} + x + 1$ by $x^{3} + 1$

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x is a rational number satisfying (1-x) (1+x+x2+x3+x4) = . Then 1+x+x2+x3+x4+X5 is

The correct option is D 6332

x is a rational number satisfying (1-x) (1+x+x²+x³+x⁴) = .

Then 1+x+x²+x³+x⁴+X⁵ is

The correct option is D
$\frac{63}{32}$