Quiz about Solving Quadratic Equations by Completing the Squares

Question 1

John is trying to calculate the dimensions of a garden that is shaped like a quadratic equation $$x^2 + 6x + 8 = 0$$ . Help him by completing the square.

Accepted Answer

$$x = -3 \pm \sqrt{1}$$

Answer

$$x = -3 \pm \sqrt{7}$$

Answer

$$x = 3 \pm \sqrt{1}$$

Answer

$$x = 3 \pm \sqrt{7}$$

Question 2

Solve the following equation by completing the square:
n² - 2n - 3 = 0

Accepted Answer

{3 and-1}

Answer

{4 and -4}

Answer

{5 and -3}

Answer

{8 and -7}

Question 3

Complete the Square
x² + 6x = 5

Accepted Answer

(x + 3)² = 14

Answer

(x + 3)² = 5

Answer

(x + 6)² = 9

Answer

(x + 6)² = 14

Question 4

Solve by completing the square. Round.
x² -4x = 5

Accepted Answer

5 and -1

Answer

11 and -7

Answer

1 and 3

Answer

1.73 and -1.73

Question 5

What is one of the solutions to this equation?
(2x - 1)² = 49

Accepted Answer

-3

Answer

7

Answer

-7

Answer

-4

Question 6

Solve by completing the square.

$$x^2+4x=12$$

Accepted Answer

x = -6 and 2

Answer

x = 2 and -2

Answer

x = 6 and -2

Answer

x = 1 and -1

Question 7

Find the value of C.
x²+24x+c

Accepted Answer

144

Answer

12

Answer

576

Answer

24

Question 8

Write the following quadratic expression in completed square form... x² + 4x + 10

Accepted Answer

(x + 2)² + 6

Answer

(x + 4)² + 6

Answer

(x + 4)² - 6

Answer

(x + 2)² - 6

Question 9

What are the roots of the quadratic equation (s - 4)² - 81 = 0?

Accepted Answer

s = 13 and s = -5

Answer

s = 9/2 and s = -9/2

Answer

s = 9 and s= -9

Answer

s = 2 and s = -2

Solving Quadratic Equations by Completing the Squares

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics