Question

linear equation :- 4x² - 10x + 25=0​

Answer 1

$\large\color{lime}\boxed{\colorbox{black}{Answer : - }}$

$4 {x}^{2} - 10x + 25 = 0$

$= > {x}^{2} - \frac{5}{2} x + \frac{25}{4} = 0$

Convert the quadratic expression on the left side to a perfect square format

$= > (x - \frac{5}{4} )^{2} + \frac{25}{4} - ( \frac{5}{4})^{2} = 0$

$= > ( x - \frac{5}{4} )^{2} = - \frac{75}{16}$

$= > x = ± \frac{5 \sqrt{3} i}{4} + \frac{5}{4}$

$final \:result : \\ = > \: x = \frac{5 + 5 \sqrt{3}i }{4} \\ \: \: \: \: \: \: \: \: \: \: x = \frac{5 - 5 \sqrt{3} i}{4}$