## Related questions with answers

Question

Solve the following equation.

$\frac{2 t}{t+1}+\frac{4}{t-1}=2$

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

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

$x^2=2\cdot 5^2$

Take the square root of both sides

$x=\sqrt{2\cdot 5^2}$

$x=\sqrt{2}\cdot \sqrt{5^2}$

$x=5\sqrt{2}\approx7.07$

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