Question

The first three steps of completing the square to solve the quadratic equation x² + 4.0 - 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

The next 3 steps are:
#1:
`\sqrt{ (x+2)^(2)} =√(10)` -- Using the square root method, we're going to find the square root of both sides.

#2:
`x+2 = \frac{+}{} √( 10 )` -- When finding the square root of 10 it has to be + and minus.

#3:
`x + 2 = \frac{+}{}√(10) \\ -2 \ \ \ \ \ \ \ -2\\` -- Subtract 2 on both sides

#4 (solution):
`x = -2 \frac{+}{} √(10)`