Question

find for x: x²-14x+4/x²-49=3/17

Answer 1

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Answer 2

$\begin{gathered} = > \frac{ {x}^{2} - \: 14x \: + \: 49 }{ {x}^{2} - \: 49} = \frac{3}{17} \\ \\ \green{factorise \: the \: equation} \\ \\ = > \frac{{x}^{2} - 7x - 7x+ 49} {(x - 7)(x + 7)} = \frac{3}{17} \\ = > \frac{( { x -7 } )(x - 7)}{(x - 7)(x + 7)} = \frac{3}{17} \\ = > \frac{(x - 7)}{(x + 7)} = \frac{3}{17} \\ \\ \ \mathfrak\red{cross \: multiplication} \\ \\ = > 17x - 119 = 3x + 21 \\ = > 17x - 3x = 119 + 21 \\ = > 14x = 140 \\ \green { = > x = \frac{140}{14} } \\ \purple { = > } \red{\boxed{ \huge\blue{x = 10}}}\end{gathered}$