10 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)

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