The largest real value for \( x \) such that \( -\sum_{\mathrm{k}=0}^{4}\left(\frac{5^{4-\mathrm...

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The largest real value for \( x \) such that \( -\sum_{\mathrm{k}=0}^{4}\left(\frac{5^{4-\mathrm{k}}}{(4-\mathrm{k}) !}\right)\left(\frac{\mathrm{x}^{\mathrm{k}}}{\mathrm{k} !}\right)=\frac{8}{3} \) is
(a) \( 2 \sqrt{2}-5 \)
(b) \( 2 \sqrt{2}+5 \)
(c) \( -2 \sqrt{2}-5 \)
(d) \( -2 \sqrt{2}+5 \)
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