## Related questions with answers

Question

Solve the following equation.

$\frac{x+3}{x^2-1}-\frac{2 x}{x-1}=1$

Solution

VerifiedStep 1

1 of 2${\color{#c34632}\textbf{Pythagoras theorem:} Square of the hypotenuse is equal to sum of the squares of other two sides in a right triangle}$

Let us call the unknown side as $x$

Using the Pythagoras theorem, we can write

$x^2=5^2+7^2$

$x^2=25+49$

$x^2=74$

Take the square root of both sides

$x=\sqrt{74}\approx8.6$

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