A Forced Parameter from Nonnegativity

★ 8/10functions Quadratic Equations inequality Casework

Problem

Let $a\in\mathbb R$ . If

\bigl[(a-1)x-1\bigr]\bigl(x^2-ax-1\bigr)\geqslant 0

for all $x>0$ , find $a$ .

Answer

Solution

Difficulty	8/10
Topics	functions, Quadratic Equations, inequality, Casework

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