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If $2 x^{2}-7 x-5=0$, what are the values of $x$ ?$\newline$Choose $1$ answer:$\newline$(A) $1$ and $\frac{5}{2}$$\newline$(B) $\frac{7}{4}-\frac{\sqrt{89}}{4}$ and$\newline$$\frac{7}{4}+\frac{\sqrt{89}}{4}$$\newline$(C) $\frac{7}{2}-\frac{\sqrt{69}}{2}$ and$\newline$$\frac{7}{2}+\frac{\sqrt{69}}{2}$$\newline$(D) $\frac{7}{2}-\frac{\sqrt{89}}{2}$ and$\newline$$\frac{7}{2}+\frac{\sqrt{89}}{2}$