Solving Quadratic Equations and Inequalities

x² - 1 = 0

Solve this equation and find the possible values of x.

• x = 1

• x = 0.5

• x = 0.5, -0.5

• x = -1, 1

x² =324

Find all the possible values of x.

• x=-18,18

• x=-17,17

• x=18

• x=-17

x² =256

Find the possible value of x, if x is a positive number.

• x=16

• x=-16

• x=17

• x=-17

x² ≥ 25

Solve the above quadratic inequality. Choose the correct option.

• x ≥ 5 , x ≥ -5

• x ≤ 5 , x ≤ -5

• x ≥ 5 , x ≤ -5

• -5 ≤ x ≤ 5

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?

• 5 < y < 12

• 7 < y < 10

• 8 < y < 9

• 6 < y < 11

Solve:  5x - 10x² < 0

• (0, ½)

• [0, ½]

• (-oo, 0) U (½, oo)

• (- ½ , 0)

Solve:
2x² + 5x ≥  12

• [-4, 1.5]

• (-oo, -4) U (1.5, oo)

• (-oo, -4] U [1.5, oo)

• no solution

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

Determine the solution of the given quadratic inequality.