Question

Solve the equation y^2-y-5=-3

Answer 1

`= y_(1) = - 1 \: . \: \: y_(2) = 2`

Explanation:

`{y}^(2) - y - 5 = - 3 \\ {y}^(2) - y - 5 + 3 = 0 \\ {y}^(2) + y - 2y - 2 = 0 \\ y(y + 1) - 2(y + 1) = 0 \\ (y + 1)(y - 2) = 0 \\ y + 1 = 0 \\ y - 2 = 0 \\ y = - 1 \\ y = 2`

`\boxed{\green{= y_(1) = - 1 \: . \: \: y_(2) = 2}}`