1. Find the solution set of each of the following quadratic inequalities
1. 2x2 + 11x + 12 < 0
2. x2 - 6x + 5 20
3. 3x2 + 2x 25
4. 4x² < 1
5. X2 - 5x - 14
1. 2x2 + 11x + 12 < 0
2. x2 - 6x + 5 20
3. 3x2 + 2x 25
4. 4x² < 1
5. X2 - 5x - 14
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Answer:
The nature of the roots may differ and can be determined by discriminant (b2 – 4ac). ... Examples of quadratic inequalities are: x2 – 6x – 16 ≤ 0, 2x2 – 11x + 12 > 0, ... x = 2/3 or x = 1/2. Therefore, x = 2/3, ½. Solve 3x2– 6x + 4x – 8 = 0. Solution ... Therefore, the roots of the quadratic equation are, x = 2, -4/3. ... (2x – 3)2 = 25.
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