Math Problem Statement
Jika garis x + y − p = 0 memotong lingkaran x2 + y2 − 2x − 4y + 3 = 0 di dua titik berbeda maka tentukan nilai p!
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Circle Equation
Quadratic Equations
Discriminant
Formulas
Equation of a circle: (x - h)^2 + (y - k)^2 = r^2
Quadratic equation formula: ax^2 + bx + c = 0
Discriminant: Δ = b^2 - 4ac
Theorems
Discriminant Theorem for Quadratic Equations
Suitable Grade Level
Grades 10-12
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