Question

(iii) 5x² - 6x - 2 = 0​

Answer 1

Answer:

$x = \frac{3}{5}$ ±$\sqrt{\frac{19}{25}}$

Step-by-step explanation:

$5x^2 - 6x - 2 = 0$

$=>5(x^2 - \frac{6}{5} x - \frac{2}{5} ) = 0$

$=>x^2 - 2.x.\frac{3}{5} + \frac{9}{25} = \frac{9}{25} + \frac{2}{5}$

$=>(x - \frac{3}{5})^2 = \frac{9+10}{25} = \frac{19}{25}$

$=>(x - \frac{3}{5})$ = ±$\sqrt{\frac{19}{25}}$

∴ $x = \frac{3}{5}$ ±$\sqrt{\frac{19}{25}}$

∴ $x = \frac{3}{5}$ ±$\sqrt{\frac{19}{25}}$