Question

find the roots of the quadratic equation:2upon5x²-x-3upon5=0​

Answer 1

$\huge\pink{\boxed {\mathfrak {☆AnsWeR☆☆}}}$

$\sf\blue {\underline {\sf Given:-}}$

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

$\frac{ {2x}^{2} }{5} - \frac{x}{1} - \frac{ - 3}{5} = 0$

By finding the L.C.M of denominators,we get 5 as the denominator.

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

${2x}^{2} - 5x - 3 = 0$

By Applying,$\sf\orange {\underline {\sf Completing\:Square\:Method:-}}$

${2x}^{2} - 6x + 1x + 3 = 0$

$2x(x - 3) + 1(x + 3) = 0$

$(2x + 1)(x - 3) = 0$

$2x + 1 = 0$

$2x = - 1$

$x = \frac{ - 1}{2}$

$x - 3 = 0$

$x = 3$

Therefore, The roots of quadratic equation are $\frac{-1}{2}$ & 3