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Quadratic Equations

Find the root...

Question

Find the roots of the following quadratic equation:

$\frac{2}{5} x^{2} - x - \frac{3}{5} = 0 .$

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Solution

It is given that:

We have to find the roots of above equation.

Multiplying both sides by 5

2x² − 5x − 3 = 20

2x² − 6x + x − 3 = 0

2x(x − 3) + 1 (x − 3) = 0

(x − 3) (2x + 1) = 0

x = 3, x =

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