Math Problem Statement
find the values of k when y=x+k is tangent to the curve y=7x-kPower[x,2]
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Tangency Condition
Discriminant
Formulas
Intersection condition: Set y-values equal, kx^2 - 6x + k = 0
Discriminant: Δ = b^2 - 4ac
Condition for tangency: Δ = 0
Theorems
Discriminant Theorem for Quadratic Equations
Suitable Grade Level
Grades 10-12
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