If $m_1$ and $m_2$ are the slopes of the tangents drawn from the point (1,4) to the parabola $y^2 = 11x$ then $2(m_1^2 + m_2^2) =$
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The equation of a tangent in slope form ($y=mx+a/m$) is very useful for problems involving tangents from an external point to a parabola. Substituting the point's coordinates leads to a quadratic equation whose roots are the slopes of the tangents.