If the tangent to the curve at the point is also tangent to the curve at the point

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

If the tangent to the curve y=x3−x2+xy=x^3-x^2+x at the point (a,b)(a, b) is also tangent to the curve y=5x2+2x−25y=5x^2+2x-25 at the point (2,−1)(2, -1), then ∣2a+9b∣|2a+9b| is equal to _____.

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