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Question

Solve the following equation.

x+3x212xx1=1\frac{x+3}{x^2-1}-\frac{2 x}{x-1}=1

Solution

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Pythagoras theorem:Squareofthehypotenuseisequaltosumofthesquaresofothertwosidesinarighttriangle{\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 xx

Using the Pythagoras theorem, we can write

x2=52+72x^2=5^2+7^2

x2=25+49x^2=25+49

x2=74x^2=74

Take the square root of both sides

x=748.6x=\sqrt{74}\approx8.6

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