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Completing the Square
2. Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add to both sides of the equation. (2 points)


Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.



Step 3: Take the square root of both sides of the equation from Step 2. (1 point)


Step 4: Simplify the radical and solve for x. Show your work. (1 point)

1 Answer

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Completing the Square

2. Solve the equation by completing the square. Show your work.

x^2 – 30x = –125

Step 1: Add to both sides of the equation. (2 points)

Add 225 both sides of the equation

x^2 – 30x + 225 = –125 + 225

x^2 - 30x + 225 = 100

Step 2: Factor the left side of the equation. Show your work. (2 points)

Hint: It is a perfect square trinomial.


x^2 - 30x + 225 = 100


Factor the left side of the equation:

(x - 15)^2 = 100

Step 3: Take the square root of both sides of the equation from Step 2. (1 point)

√(x - 15)^2 = √100


Step 4: Simplify the radical and solve for x. Show your work. (1 point)

x - 15 = + - 10


x - 15 = 10

x = 25


x - 15 = -10

x = 5


Solutions x = 25, 5

User David Strencsev
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