Question

The first three steps of completing the square to solve the quadratic equation x2 +4x -6 0, are shown below. Step 1: x2 +4x 6 Step 2: x2 +4x +4 6+4 Step 3: (x +2)2 10 What are the next 3 steps?​

Answer 1

Answer:

Step-by-step explanation:

2(x+2) = 10

divide by 2 each side

x+2 = 5

subtract 2 on each side

x = 3

Answer 2

Answer:

step 4: Take the square root on both sides

√(x + 2)^2 = √10

step 5: Simplify

x + 2 = ±√10

Step 6: Solve for x

x = √10 - 2 and x = -√10 + 2

Step-by-step explanation:

Step 1: x^2 +4x = 6

Step 2: x^2 +4x +4 =  6+4

Step 3: (x +2)^2 = 10

The next 3 steps are:

step 4: Take the square root on both sides

√(x + 2)^2 = √10

step 5: Simplify

x + 2 = ±√10

Step 6: Solve for x

x = √10 - 2 and x = -√10 + 2

Hope this will helpful.

Thank you.