The roots of are and

MATHEMATICS · Subjective · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

The roots of

2x^2 - 3x = 4

are

\alpha

and

\beta

. Find the simplest quadratic equation which has roots

\frac{1}{\alpha}

and

\frac{1}{\beta}

.

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