Quadratic Functions, Equations and Inequalities - Intersection of a Line and a Curve

Quadratic Functions, Equations and Inequalities - Intersection of a Line and a Curve

TGM Original Questions

Find the value of \(p\) for which the line \(y+5x=p\) is a tangent to the curve \(y={{x}^{2}}-p\).

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Answer:\(p = -\displaystyle\frac{25}{8}\)

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