Math, asked by arpita415, 1 year ago

urgently answer please

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UnknownDude: Do you want the answer for Q 14 or both Q 13 and 14?
UnknownDude: Some details please, Arpita
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Answers

Answered by rocker86
0
X +1/X = 7

TAKING CUBE OF BOTH SIDES

(X + 1/X)3= 73

X3+ 1/X3+ 3 Xx (1/X)(X+ 1/X) = 343 ... AS ( a+ b)3= a3+ b3+3ab(a+b)

X3+ 1/X3+ 3x7 = 343

X3+ 1/X3=343-21

X3+ 1/X3= 322

please like it

Answered by UnknownDude
1
[0010001111]... Hello User... [1001010101]
Here's your answer...

Q 13.

Let 0.588.... be x

x = 0.588588588...... \\ 1000x = 588.588588588....
Subtracting x from 1000x

999x = 588 \\ x = \frac{588}{999} \\ = \frac{196}{333}

Q 14.

x + \frac{1}{x} = 7 \\ {(x + \frac{1}{x} )}^{3} = {7}^{3} \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3 \times x \times \frac{1}{x} (x + \frac{1}{x} ) = 343 \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3 \times 7 = 343 \\ {x}^{3} + \frac{1}{ {x}^{3} } = 343 - 21 \\ {x}^{3} + \frac{1}{ {x}^{3} } = 322
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