# Practice: Calculus and Trigonometry

Level pending

Let $$y_1$$ and $$y_2$$ be lines tangent to the graph of $$f(x)=x^{2}-8x+3$$ that make a $$60^{\circ}$$ angle with respect to the line $$y=\frac{1}{2}x$$. If the lines intersect $$f$$ at $$x=x_1$$ and $$x=x_2$$, what is the arithmetic mean of $$x_1$$ and $$x_2$$?

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