Solving Quadratic Equations - All Methods

Solve the quadratic equations by factoring.

x² + 2x - 24 = 0

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

What is the first step in solving the equation by completing the square?

a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract 21 on both sides of the equation

Solve x^2 - 3x - 4 = 0 using the quadratic formula.

•  x = 4 and -1
• x = -4 and -1
• x = 4 and 1
• x = -4 and 1

Tags

CCSS.HSA-REI.B.4B

What are the solutions of the quadratic equation represented by the graph?

• -2 and 3

• -1/2 and -6

• -2 and -6

• 3 and -6

True or False

The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

A quadratic equation is factored as

(3x - 1)(2x - 1) = 0

What are the values of x?

• x = -1/3 and x = -2

• x = 1/3 and x = 1/2

• x = 0 and x = -2

• x = -1/3 and x = -1/2

Solve by getting the square root.

16a² = 9

• a = 3/4 and a = -3/4

• a = 3/4 and a = 3/4

• a = -3/4 and a = -3/4

• a = 4/3 and a = -4/3

To solve the quadratic equation

x² - 2x - 3 = 0 by factoring is to start factoring the trinomial x² - 2x - 3.

What are factors of this trinomial?

• (x - 3)(x +1)

• (x - 2)(x +1)

• (x + 5)(x +1)

• (x - 3)(x -1)

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

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Solve by quadratic formula.

x² + 5x - 12 = 0

Write answers in 2 decimal places.

• -4.9 and -0.1

• -8.54 and 8.54

• -0.45 and 3.55

• -6.77 and 1.77