Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$x- \frac{ 1 }{ x } =-3$$

Answer

x=(-3+sqrt(13))/2,(-3-sqrt(13))/2

Solution


Multiply both sides by \(x\).
\[{x}^{2}-1=-3x\]
Move all terms to one side.
\[{x}^{2}-1+3x=0\]
Use the Quadratic Formula.
\[x=\frac{-3+\sqrt{13}}{2},\frac{-3-\sqrt{13}}{2}\]

Decimal Form: 0.302776, -3.302776

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