Quadratic Equations with Fractions - SS2 Mathematics Lesson Note
Example:Ā Solve \(\frac{x^{2}}{5} - \frac{1}{2}x + \frac{1}{5} = 0\)
Solution
\(\frac{x^{2}}{5} - \frac{1}{2}x + \frac{1}{5} = 0\), multiply each term by the LCM of the denominatorsĀ \(10\)
\({2x}^{2} - 5x + 2 = 0\), factorize the quadratic equation of the LHS
\[(2x - 1)(x - 2) = 0\]
\[so\ x = \ \frac{1}{2}\ or\ 2\]
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