If the set of all $\mathrm{a} \in \mathbf{R}$, for which the equation $2 x^2+(a-5) x+15=3a$ has no real root, is the interval $(\alpha, \beta)$ and $\mathrm{X}=\{x \in Z: \alpha

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If the set of all $\mathrm{a} \in \mathbf{R}$, for which the equation $2 x^2+(a-5) x+15=3a$ has no real root, is the interval $(\alpha, \beta)$ and $\mathrm{X}=\{x \in Z: \alpha<x<\beta\}$, then $\sum_{x \in X} x^2$ is equal to:

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If the set of all \(\mathrm{a} \in \mathbf{R}\), for which the equation \(2 x^2+(a-5) x+15=3a\) has no real root, is the…

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