Respuesta :

Answer:

see the explanation

Step-by-step 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

[tex]\sqrt{(x+2)^2} =\sqrt{10}[/tex]

step 5

Simplify

[tex]x+2=\pm\sqrt{10}[/tex]

step 6

Solve for x

subtract 2 both sides

[tex]x=-2\pm\sqrt{10}[/tex]

[tex]x_1=-2+\sqrt{10}[/tex]

[tex]x_2=-2-\sqrt{10}[/tex]