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Select the correct answer.
Solve the equation using the method of completing the square.
2x^2 + 163 - 8 = 0

Select The Correct Answer Solve The Equation Using The Method Of Completing The Square 2x2 163 8 0 class=

Sagot :

Estellia

Answer:

D

Step-by-step explanation:

[tex]2x^2+16x-8=0[/tex]

Simplify:

[tex]x^2+8x=4[/tex]

Rewrite in the form [tex](x+a)^2=b[/tex]:

[tex]x^2+8x=4[/tex]

Add [tex]4^2[/tex] to both sides:

[tex]x^2+8x+4^2=4+4^2[/tex]

[tex]x^2+8x+4^2=20[/tex]

[tex]\left(x+4\right)^2=20[/tex]

[tex]x+4=\sqrt{20}[/tex] or [tex]x+4=-\sqrt{20}[/tex]

x = -4±[tex]\sqrt{20}[/tex]

x= -4±[tex]2\sqrt{5}[/tex]

Answer:

d

Step-by-step explanation:

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