Question

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Answer 1

Step-by-step explanation:

$\frac{ {x}^{2} - 14x + 49}{ {x}^{2} - 49 } = \frac{3}{17}$

$\frac{( {x)}^{2} - 2 \times x \times 7 + ( {7)}^{2} }{( {x)}^{2} - ( {7)}^{2} } = \frac{3}{17}$

$\frac{( {x - 7)}^{2} }{(x + 7)(x - 7)} = \frac{3}{17}$

$\frac{(x - 7)}{(x + 7)} = \frac{3}{17}$

$17(x - 7) = 3(x + 7)$

$17x - 119 = 3x + 21$

$17x - 3x = 21 + 119$

$14x = 140$

$x = \frac{140}{14}$

$x = 10$

The value of x is 10.