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

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

Secondary 3

Find the value of \(m\) for which the line \(y=1-mx\) will meet the curve \(y={{x}^{2}}-mx+3x+6-m\) only once.

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Answer:\(m=\frac{11}{4}\)

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