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The first three steps of completing the square to solve the quadratic equation x^2 + 4x - 6 = 0, are shown below.

step 1: x^2 + 4x = 6
step 2: x^2 + 4x + 4 = 6 + 4
step 3: (x + 2)^2 = 10

what are they in order?

Respuesta :

The first three steps of completing the square to solve the quadratic equation x^2 + 4x - 6 = 0, are shown below.

step 1: x^2 + 4x = 6
step 2: x^2 + 4x + 4 = 6 + 4
step 3: (x + 2)^2 = 10
step 4: x + 2 = +/-sqrt(10)
step 5: x = sqrt(10) - 2, or x = -sqrt(10) - 2

so the steps are in order.

In  the quadratic equation, [tex]x^2 + 4x - 6 = 0[/tex] the value of x is  [tex]x = \sqrt(10) - 2, \ or \ x = -\sqrt(10) - 2[/tex]

The first three steps of completing the square to solve the quadratic equation x^2 + 4x - 6 = 0, are shown below.

Step: 1

[tex]x^2 + 4x = 6[/tex]

Step: 2

[tex]x^2 + 4x + 4 = 6 + 4[/tex]

Step: 3

[tex](x + 2)^2 = 10[/tex]

Step:3

[tex]x + 2 = \ +/-\sqrt(10)[/tex]

Step:4

[tex]x = \sqrt(10) - 2, \ or \ x = -\sqrt(10) - 2[/tex]

Therefore the quadratic equation [tex]x^2 + 4x - 6 = 0[/tex] the value of x is  

[tex]x = \sqrt(10) - 2, \ or \ x = -\sqrt(10) - 2[/tex]

So the steps are in order.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

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