Topic: Algebra

If α+β=2 and αβ=9, find α^3+β^3.

• 675
• 62
• -46
• -14

If α+β=-4 and αβ=-1, find 1/α + 1/β.

• -4
• 4
• 1/4
• 5

If α+β=-5 and αβ=7, find 1/α + 1/β.

• 2/7
• -5/7
• -7/5
• -5/8

If α+β=3 and αβ=12, find 1/α + 1/β.

• 5/4
• 4
• 1/4
• 3/13

If α+β=-1 and αβ=-2, find α^3+β^3.

• -14
• 5
• -7

If α+β=-7 and αβ=-5, find α^3+β^3.

• -238
• 59
• -230
• -448

If α+β=-5 and αβ=-3, find α^3+β^3.

• 31
• -80
• -72
• -170

Solve the inequality (x – (-3))(x – (3)) < 0.

• -3 < x < 3
• x < -3 or x > 3
• x ≤ -3 or x ≥ 3
• x = -3 or x = 3

Solve the inequality (x – (3))(x – (8)) > 0.

• x ≤ 3 or x ≥ 8
• 3 < x < 8
• x < 3 or x > 8
• x = 3 or x = 8

Solve the inequality (x – (7))(x – (8)) < 0.

• x ≤ 7 or x ≥ 8
• 7 < x < 8
• x = 7 or x = 8
• x < 7 or x > 8

Solve the inequality (x – (-4))(x – (-3)) > 0.

• x < -4 or x > -3
• x = -4 or x = -3
• x ≤ -4 or x ≥ -3
• -4 < x < -3

Solve the inequality (x – (-8))(x – (4)) < 0.

• x = -8 or x = 4
• x ≤ -8 or x ≥ 4
• -8 < x < 4
• x < -8 or x > 4

Solve the inequality (x – (2))(x – (3)) > 0.

• x < 2 or x > 3
• x ≤ 2 or x ≥ 3
• 2 < x < 3
• x = 2 or x = 3

Solve the inequality (x – (1))(x – (8)) < 0.

• x ≤ 1 or x ≥ 8
• 1 < x < 8
• x < 1 or x > 8
• x = 1 or x = 8

Solve the inequality (x – (1))(x – (2)) > 0.

• 1 < x < 2
• x ≤ 1 or x ≥ 2
• x = 1 or x = 2
• x < 1 or x > 2

Solve the inequality (x – (1))(x – (6)) < 0.

• x ≤ 1 or x ≥ 6
• 1 < x < 6
• x < 1 or x > 6
• x = 1 or x = 6

Solve the inequality (x – (-4))(x – (7)) > 0.

• x = -4 or x = 7
• x < -4 or x > 7
• x ≤ -4 or x ≥ 7
• -4 < x < 7

Solve the inequality (x – (-6))(x – (3)) < 0.

• x < -6 or x > 3
• x = -6 or x = 3
• x ≤ -6 or x ≥ 3
• -6 < x < 3

Solve the inequality (x – (0))(x – (4)) > 0.

• 0 < x < 4
• x ≤ 0 or x ≥ 4
• x = 0 or x = 4
• x < 0 or x > 4

Solve the inequality (x – (-1))(x – (5)) < 0.

• -1 < x < 5
• x ≤ -1 or x ≥ 5
• x = -1 or x = 5
• x < -1 or x > 5

Solve the inequality (x – (-2))(x – (4)) > 0.

• x ≤ -2 or x ≥ 4
• x = -2 or x = 4
• -2 < x < 4
• x < -2 or x > 4

Solve the inequality (x – (-2))(x – (2)) < 0.

• x ≤ -2 or x ≥ 2
• x < -2 or x > 2
• -2 < x < 2
• x = -2 or x = 2