Solve rational equation leading to quadratic

A question is this type if and only if it asks to solve an equation involving fractions or rational expressions that, when cleared of denominators, becomes a quadratic equation.

2 questions · Moderate -0.4

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OCR MEI C4 Q4
Moderate -0.5
4 Justify the statement that the equation in line 83, $$\frac { \phi } { 1 } = \frac { 1 } { \phi - 1 }$$ has the solution \(\phi = \frac { 1 \pm \sqrt { 5 } } { 2 }\).
Edexcel C1 Q2
4 marks Moderate -0.3
Solve the equation $$3x - \frac{5}{x} = 2.$$ [4]