Completing The Square Answers

Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.

x² - 5x +

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

First, subtract from each side of the equation.

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

Now, write x² - 16x + 64 = -8 as

Take the square root of both sides to get the solutions

Take the square root of both sides to get the solutions .

Write the equation so that

a = 1: x2 + x

The solution to x2 – 10x = 24 is .

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

x² + x + 49

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

Take the square root of both sides to get the solutions .

Write the equation so that a = 1: x2 + x =

Factor the trinomial and simplify:

The solution to 2x2 – 11 = 87 is .

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

Question text not available

x2 – 6x + =

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

and after s.

Complete the square: x2 – 6x + = –13 + ⇒ 9

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

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

Use the square root property of equality to solve(x – 3)2 = –4.The solutions are .