For what value of is the line a tangent to the parabola with equation ?

MATHEMATICS · Subjective · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

For what value of cc is the line y=3x+cy = 3x + c a tangent to the parabola with equation y=x2−5x+7y = x^2 - 5x + 7 ?

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