Question

the first three steps of completing the square to solve the quadratic equation X2+4X-6=0 are shown below. what re the next 3 steps

Answer 1

see the explanation

Explanation:

The complete question is

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?​

we have

step 4

Take square root both sides

`√((x+2)^2) =√(10)`

step 5

Simplify

`x+2=\pm√(10)`

step 6

Solve for x

subtract 2 both sides

`x=-2\pm√(10)`

`x_1=-2+√(10)`

`x_2=-2-√(10)`