Question

2/5x^2-x-3/5=0 find root

Answer 1

Answer:

$\frac{2}{5} {x}^{2} - x - \frac{3}{5} = 0 \\ 2 {x}^{2} - 5x - 3 = 0 \: \: \: \: (multiplied \: by \: 5 \: on \: both \: sides) \\ 2 {x}^{2} - 2x - 3x - 3 = 0 \\ 2x(x - 1) - 3(x - 1) = 0 \\ (x - 1)(2x - 3) = 0 \\ x - 1 = 0 \: or \: 2x - 3 = 0 \\ x = 1 \: or \: x = \frac{3}{2} \\ = = = = = = = = = = = =$