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Number of solutions of the equation $\sin (\frac{π x}{2 \sqrt{3}}) = x^{2} - 2 \sqrt{3} x + 4 is$

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Correct option is C

sin⁡πx23=(x−3)2+1⇒x=3.

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Number of solutions of the equation sin⁡πx23=x2−23x+4 is

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Number of solutions of the equation $\sin (\frac{π x}{2 \sqrt{3}}) = x^{2} - 2 \sqrt{3} x + 4 is$