Example

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

Question

$$x- \frac{ 3 }{ x } -7=0$$

Answer

x=(7+sqrt(61))/2,(7-sqrt(61))/2

Solution


Multiply both sides by \(x\).
\[{x}^{2}-3-7x=0\]
Use the Quadratic Formula.
\[x=\frac{7+\sqrt{61}}{2},\frac{7-\sqrt{61}}{2}\]

Decimal Form: 7.405125, -0.405125

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