Solving Quadratic Inequalities with 2 or 1 Roots
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Problems 8
- Which values of x satisfy: −x2+x+2<0-x^2 + x + 2 < 0−x2+x+2<0
- Solve: −x2+x+2<0-x^2 + x + 2 < 0−x2+x+2<0
- Simplify: x2+x>4xx^2 + x > 4xx2+x>4x (Hint: Look at the graph- you can't do this by simply dividing by x!)
- What is the solution to x2−2x−24≥0x^2-2x-24\geq0x2−2x−24≥0?
- What is the set of solutions to the following quadratic inequality? x2+18<9xx^2 + 18 < 9xx2+18<9x
- What is the set of solutions to the following quadratic inequality? 5x2+21≤x2+16x+55x^2 + 21 \le x^2 + 16x + 55x2+21≤x2+16x+5
- Let fff be a quadratic equation with two roots. How many values of xxx satisfy f(x)<0f(x) < 0f(x)<0?
- Let fff be a quadratic equation with one root. How many values of xxx satisfy f(x)>0f(x) > 0f(x)>0?