Question

Find the roots of 3x^2 + 2sqrt5x - 5 = 0

Answer 1

$3 {x}^{2} + 2 \sqrt{5} x - 5 = 0 \\ 3 {x}^{2} + 3 \sqrt{5}x - \sqrt{5} x - 5 = 0 \\ 3x(x + \sqrt{5}) - \sqrt{5} (x + \sqrt{5}) = 0 \\ (3x - \sqrt{5} )(x + \sqrt{5}) = 0 \\ roots \: are \\ 3x - \sqrt{5} = 0 \\ x = \frac{ \sqrt{5} }{3} \\ x + \sqrt{5} = 0 \\ x = - \sqrt{5}$