# Roots, $$\sin \theta$$ and $$\cos \theta$$

Geometry Level 2

For a constant $$k$$, the two roots of the quadratic equation $3x^2-x+k=0$ are $$\sin \theta$$ and $$\cos \theta.$$ What is the value of $$54(\sin^3 \theta+\cos^3 \theta)?$$

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