Math Problem Statement
The graph of y = kx-k touch the graph of y = 3x²-4x + 1 at P.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Tangency
Discriminant
Formulas
Quadratic equation: ax^2 + bx + c = 0
Discriminant: Δ = b^2 - 4ac
Theorems
Condition for tangency: The discriminant of a quadratic equation must be zero for curves to be tangent.
Suitable Grade Level
Grades 10-12
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