Solving Quadratic Equations

Question 1

Solve x² - 9x + 20 = 0.

Answer 1

• x* = 4
• x* = 5

Question 2

Solve 2x² - 4x = 0.

Answer 2

• x* = 0
• x* = 2

Question 3

Solve x² + 4x + 3 = 0.

Answer 3

• x* = -1
• x* = -3

Question 4

Solve x² - 81 = 0.

Answer 4

• x* = -9
• x* = 9

Question 5

Solve x² + 2x = 3.

Answer 5

• x* = -3
• x* = 1

Question 6

Solve x² = 4x - 4.

Answer 6

x = 2

Question 7

Solve x² + 6x = 9.

Answer 7

x = -3

Question 8

Solve x² + 2x = 15.

Answer 8

• x* = 3
• x* = -5

Question 9

Solve x² - 7x + 12 = 0.

Answer 9

• x* = 3
• x* = 4

Question 10

Solve x² + 5x - 4 = 2x.

Answer 10

• x* = 1
• x* = -4

Question 11

Solve x² + 14x + 40 = -5.

Answer 11

• x* = -5
• x* = -9

Question 12

Solve x² + 6x = 27.

Answer 12

• x* = 3
• x* = -9

Question 13

Solve x² = 64.

Answer 13

• x* = 8
• x* = -8

Question 14

Solve x² + 1 = 2x.

Answer 14

x = 1

Question 15

Solve x² = 5x.

Answer 15

• x* = 0
• x* = 5

Question 16

Solve x² = -x + 12.

Answer 16

• x* = 3
• x* = -4

Question 17

Solve x² + 5x - 20 = 16.

Answer 17

• x* = 4
• x* = -9

Question 18

Solve x² + 12x = -36.

Answer 18

x = -6

Question 19

Solve x² + 16 = 8x.

Answer 19

x = 4

Question 20

Solve x² - 3x = 10.

Answer 20

• x* = 5
• x* = -2

Question 21

Solve 3x² = 9x.

Answer 21

• x* = 0
• x* = 3

Question 22

Solve x² + 1 = 10.

Answer 22

• x* = -3
• x* = 3

Question 23

Solve x² + 4x = 12.

Answer 23

• x* = 2
• x* = -6

Question 24

Solve x² + 6 = 7x.

Answer 24

• x* = 1
• x* = 6