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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?

Sagot :

Scarsploitidn

Answer:

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

#2: [tex]x+2 = \frac{+}{} \sqrt{ 10 }[/tex] -- When finding the square root of 10 it has to be + and minus.

#3: [tex]x + 2 = \frac{+}{}\sqrt{10} \\ -2 \ \ \ \ \ \ \ -2\\[/tex] -- Subtract 2 on both sides

#4 (solution): [tex]x = -2 \frac{+}{} \sqrt{10}[/tex]

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