Question

x²-14x+49/x²-49=3/7​

Answer 1

Answer:

x²-14x+49/x²-49

Step-by-step explanation:

-14x+49/-49

-14x

-14x=3/7

x=3/7×14

x=3/98

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Answer 2

Answer:

$\frac{ {x}^{2} - 14x + 49}{ {x}^{2} - 49} = \frac{3}{7}$

$\frac{ {x}^{2} - 7x - 7x + 49}{(x - 7)(x + 7)} = \frac{3}{7}$

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

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

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

Cross multiply :

$7x - 49 = 3x + 21$

$7x - 3x = 49 + 21$

$4x = \frac{70}{4}$

$x = 17.5$

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