Solve Quadratic and Square Root Inequalities

The ________________ of 25 is ±5

• reciprocal

• square root

• integer

• ratio

What number must be added to complete the square in the equation p² – 30p = 8?

• 900

• 225

• 30

• 15

A quadratic equation is an equation on a degree of _____.

• 1

• 2

• 3

• 4

Which of the following is the solution of the given Quadratic Inequality?

• 5 < y < 12

• 7 < y < 10

• 8 < y < 9

• 6 < y < 11

Solve:
2x² + 5x ≥  12

• [-4, 1.5]

• (-oo, -4) U (1.5, oo)

• (-oo, -4] U [1.5, oo)

• no solution

What is the solution set to the inequality x² - 4x - 5 > 0

• x < -1 or x > 5

• x < -5 or x > 1

• -1 < x < 5

• -5 < x < 1

Solve:
3x - x² > 0

• (-oo, 0) U (3, oo)

• (-oo, - 3) U (0, oo)

• (-3, 0)

• (0, 3)

Evaluate responses using AI:

OFF

3x - x² > 0

• (−∞, 0) U (3, ∞)

• (−∞, - 3) U (0, ∞)

• (-3, 0)

• (0, 3)

Which of the following is the solution of the given Quadratic Inequality?

• b ≥ -2 or b ≤ -1

• b ≤ -2 or b ≥ -1

• b ≥ 2 or b ≤ 1

• b ≤ 2 or b ≥ 1