Question 1

What are the solutions to the quadratic equation

6x^2 - x - 12 = 0

using the quadratic formula?

Accepted Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Question 2

Solve the quadratic equation

6x^2 - x - 12 = 0

by completing the square.

Accepted Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Question 3

What are the solutions to the quadratic equation

6x^2 - x - 12 = 0

using the quadratic formula?

Accepted Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Question 4

What is the vertex form of the quadratic equation

6x^2 - x - 12 = 0

by completing the square?

Accepted Answer

Answer

Answer

Answer

Question 5

Which of the following is the correct solution to the quadratic equation

6x^2 - x - 12 = 0

using the method of completing the square?

Accepted Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Answer

x = 2

,

x = -\frac{3}{2}

Question 6

Given the quadratic equation

6x^2 - x - 12 = 0

, which step is necessary for completing the square?

Accepted Answer

Add and subtract 9 inside the equation.

Answer

Add and subtract 5 inside the equation.

Answer

Add and subtract 6 inside the equation.

Answer

Add and subtract 25 inside the equation.

Question 7

Which of the following is the solution to the quadratic equation

6x^2 - x - 12 = 0

using the quadratic formula?

Accepted Answer

x = 5, x = -1

Answer

x = 4, x = -5

Answer

x = 2, x = -2

Answer

x = 1, x = -5

Question 8

What value must be added and subtracted to complete the square for the expression

6x^2 - x - 12 = 0

?

Accepted Answer

25

Answer

5

Answer

20

Answer

10

Question 9

Using the quadratic formula, find one of the roots of the equation

6x^2 - x - 12 = 0

.

Accepted Answer

Answer

Answer

Answer

Question 10

What is the next step in solving the quadratic equation

6x^2 - x - 12 = 0

by completing the square?

Accepted Answer

Divide the entire equation by 2.

Answer

Take the square root of the entire equation.

Answer

Add 36 to both sides.

Answer

Subtract 18 from both sides.

Question 11

Which of the following represents the process of completing the square for the quadratic expression

6x^2 - x - 12 = 0

?

Accepted Answer

Add and subtract 49 inside the expression.

Answer

Add and subtract 7 inside the expression.

Answer

Add and subtract 25 inside the expression.

Answer

Add and subtract 14 inside the expression.

Question 12

What is the discriminant of the quadratic equation

6x^2 - x - 12 = 0

and what does it indicate about the roots?

Accepted Answer

Discriminant is -56; the roots are complex.

Answer

Discriminant is 0; there is one real root.

Answer

Discriminant is 56; the roots are real and distinct.

Answer

Discriminant is 31; the roots are real and distinct.

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