Question Solve the quadratic equation $2y(y+5)-5=0$ using the quadratic formula. Provide the solution(s) in the form $y=\square$.

Studdy Solution
We have two solutions for $y$, one with the plus sign and one with the minus sign.
$$y_1 = \frac{-5 + \sqrt{35}}{2}, \quad y_2 = \frac{-5 - \sqrt{35}}{2}$$
The solutions to the equation $2y(y+5)-5=0$ are:
$$y=\frac{-5 + \sqrt{35}}{2}, \frac{-5 - \sqrt{35}}{2}$$