QuestionUse the quadratic formula to solve for $x$. $$2 x^{2}+7 x-5=0$$ (If there is more than one solution, separate them with commas.)

Studdy Solution
Apply the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$:
$$x = \frac{-7 \pm \sqrt{89}}{2 \times 2}$$ $$x = \frac{-7 \pm \sqrt{89}}{4}$$
The solutions for $x$ are:
$$x = \frac{-7 + \sqrt{89}}{4}, \frac{-7 - \sqrt{89}}{4}$$