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The function f(x) = 2x² - 12x + k has exactly one real x-intercept in the xy-plane. What is the value of the constant k?
⚡ Core Pattern: Single x-intercept means Discriminant Δ = 0.
b² - 4ac = (-12)² - 4(2)(k) = 0
144 - 8k = 0 => 8k = 144 => k = 18
💡 Desmos Shortcut: Graph y = 2x² - 12x + k and add a slider for k. Slide until the vertex touches the x-axis at (3, 0).
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Practice with real Digital SAT exam papers
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Official Digital SAT - June 2026 Release (Full Mock)
Official Digital SAT - March 2026 Adaptive Test
DSAT Math: Module 2 (Hard Adaptive Practice)
Reading & Writing: Craft, Structure & Inference Mastery
DSAT Math: Nonlinear Equations & Desmos Shortcuts
Reading & Writing: Command of Evidence & Graphs
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