If \( 0a5,0b5 \) and \( \frac{x^{2}+5}{2}=x-2 \cos (a+b x) \) is satisfied for at least one real...

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If \( 0a5,0b5 \) and \( \frac{x^{2}+5}{2}=x-2 \cos (a+b x) \) is satisfied for at least one real \( x \) then the greatest value of \( a+b \) is
(a) \( \pi \)
(b) \( \frac{\pi}{2} \)
(c) \( 3 \pi \)
(d) \( 4 \pi \)
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