Quadratic Equations with Fractions - SS2 Mathematics Lesson Note

Example: 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 denominators $10$

${2x}^2-5x+2=0$, factorize the quadratic equation of the LHS

$$(2x-1)(x-2)=0$$

$$sox=\frac{1}{2}or2$$