Question

Which quadratic equation has roots - 2 and 1/5 :

Answer 1

`5 {x}^(2) \: + \: 8x \: - 2 \: = \: 0`

Explanation:

`sum \: of roots = - 2 + (1)/(5) = - (8)/(5) \\ product \: of \: roots = - 2 * (1)/(5) = - (2)/(5) \\ from \: general \: equation \\ a {x}^(2) + bx + c = 0 \\ {x}^(2) + (8)/(5) x \: - (2)/(5) = 0 \\ 5 {x}^(2) \: + \: 8x \: - 2 \: = \: 0`