Complete the Square

Factor the trinomial and simplify: (x + )² =

-3,-4

Solve (t - 3)² = 6. The arrow is at a height of 48 ft after approximately

.5,5.45

Complete the expression so it forms a perfect-square trinomial. x² - 5x+ (25/4) x² + x + 49

14

Solve x2 - 16x +______= -12 by completing the steps. First, subtract from each side of the equation.

60

Next, add____ to each side of the equation to complete the square.

64

Take the square root of both sides to get the solutions

8 and 2

Complete the square: x2 - 6x + = -13 +

9,9

The solution to 2x2 - 11 = 87 is

A

Complete the square to write 16t² - 96t + 48 = 0 as

B

Now, write x² - 16x + 64 = -8 as

B

The solution to 3x2 - 12x + 24 = 0 is

B

Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply. x2 - 16x - 64 4x2 +12x + 9 x2 + 20x + 100 x2 + 4x + 16

B and C

The solution to x2 - 10x = 24 is

C

Given (x - 1)2 = 50, select the values of x. x = -49 x = 51

C and D

What method would you choose to solve the equation 2x2 - 7 = 9? Explain why you chose this method

I would divide everything by two. Then I would add 7/2 from both sides which would cancel out the -7/2. That would give me 8 where the 9/2 is. Then I would square root both sides and get 2 square roots of 2. That would be using completing the square.

A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

he answer to the problem would be 2 and -2

Given (x - 7)2 = 36, select the values of x. x = 13 x = 1 x = -29 x = 42

x=13 x=1