Solving Quadratic Equations through Completing the Square

Which of the following is NOT a method to solve quadratic equations?

• Linear regression

• Square root property

• Completing the square

• Factoring

What is the factored form of the trinomial x^2 - 2x + 1?

• (x + 2)(x + 2)

• (x - 2)(x - 2)

• (x + 1)(x + 1)

• (x - 1)(x - 1)

How do you find the value of c in the trinomial x^2 + 6x + c?

• Divide the middle term by 2 and square it

• Subtract the middle term from 2 and square it

• Multiply the middle term by 2 and square it

• Divide the middle term by 3 and square it

What is the value of c that makes x^2 - 8x + c a perfect square?

• 16

• 8

• 4

• 64

What is the factored form of x^2 + 18x + 81?

• (x + 9)(x + 9)

• (x + 18)(x + 18)

• (x + 6)(x + 6)

• (x + 81)(x + 81)

What is the first step in solving y = 2x^2 - 4x - 6 by completing the square?

• Move the constant to the other side

• Add a blank to both sides

• Factor out the leading coefficient

• Set the equation equal to 0

What is the value of c when completing the square for 2x^2 + 12x + c?

• 36

• 18

• 9

• 6

What are the solutions for the equation 2x^2 + 12x + 8 = 0?

• x = -3 ± √5

• x = 3 ± √5

• x = 3 ± √2

• x = -3 ± √2

What type of solutions does the equation 3x^2 - 6x + 9 = 0 have?

• Real and irrational

• No solutions

• Real and rational

• Imaginary

What is the solution for x in the equation 3x^2 - 6x + 9 = 0?

• x = 1 ± i√2

• x = -1 ± i√2

• x = -1 ± √2

• x = 1 ± √2