If 2-x-1-1-1-3-1-4- then find then value of x-

The correct option is A 21/17 =x+11+112+14=x+11+1134=x+11+413=x+113+413=x+11713=x+1317 ∴ x=2 1317=34 1317=2117 ...

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Applications of Dot Product

If 2=x+1/1+...

Question

If $2 = x + \frac{1}{1 + \frac{1}{3 + \frac{1}{4}}},$ then find then value of x?

\frac{21}{17}

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\frac{22}{16}

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\frac{17}{22}

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\frac{32}{23}

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Solution

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Similar questions

\sqrt{1 + \frac{1}{1^{2}} + \frac{1}{2^{2}}} + \sqrt{1 + \frac{1}{2^{2}} + \frac{1}{3^{2}}} + \sqrt{1 + \frac{1}{3^{2}} + \frac{1}{4^{2}}} + . . . . . + \sqrt{1 + \frac{1}{(1999)^{2}} + \frac{1}{(2000)^{2}}} = x - \frac{1}{x}

x

x = 1 + 2^{1 / 3} + 2^{2 / 3}

x^{3} - 3 x^{2} - 3 x - 1

X = 28 + (1 \times 2 \times 3 \times 4 \times . . . . . \times 16 \times 28)

Y = 17 + (1 \times 2 \times 3 \times . . . . . . \times 17)

X - Y

1 = \frac{1}{2} (1 \times (1 + 1))

1 + 2 = \frac{1}{2} (2 \times (2 + 1))

1 + 2 + 3 = \frac{1}{2} (3 \times (3 + 1))

1 + 2 + 3 + 4 = \frac{1}{2} (4 \times (4 + 1))

31 + 32 + . . . + 50

x^{2} + \frac{1}{x^{2}} = \frac{17}{4}

x + \frac{1}{x}

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