Completing The Square Answers
x² - 5x + 5/25/425/4
x² + 1477/2 x + 49
Now, write x² - 16x + 64 = -8 as (x - 8)² = -16(x - 8)² = -8(x - 16)² = -16(x - 16)² = -8
Take the square root of both sides to get the solutions
.
8 - 2√2i
=
-4
Use the square root property of equality to solve(x – 3)2 = –4.The solutions are –1 or 71 or 53 ± 2i3 ± 4i.
Given (x – 7)2 = 36, select the values of x.
Write the equation so that
Write the equation so that a = 1: x2 + x =
The solution to x2 – 10x = 24 is 7 or –72 + 2i or 2 – 2i12 or –2.
Complete the square to write 16t² - 96t + 48 = 0 as (t + 9)² = -3(t - 3)² = 6(t - 6)² = 12.
Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.
Sample Response/Explanation: I would use the square root property of equality. Because there is no x term, I would just add and divide to get x2 by itself. Then I would take the square root.
Given (x – 1)2 = 50, select the values of x.
=
-13
Factor the trinomial and simplify:
The solution to 2x2 – 11 = 87 is 7 or –72 + 2i or 2 – 2i12 or –2.
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