SAT Nonlinear equations Question

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Question 1 · Easy · MathOctober 2024 Batch 2 · Q13Nonlinear equations in one variable and systems of equations in two variables · 0 solved

$- 2 x^{2} + 20 x + c = 0$ In the given equation, $c$ is a constant. The equation has exactly one solution. What is the value of $c$ ?

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The trap here

SAT discriminant: how many solutions, without solving — When an SAT question asks for exactly one solution or no real solution, it is asking about b² − 4ac. Solving the quadratic is the slow way to get it wrong.