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Start with x2 - 6x + 8 = 0 and complete the square, what is the equivalent equation?

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A)
(x + 3)2 = 1
B)
(x+3)2 = 9
C)
(x - 3)2 = 1
D)
(x-3)=9

User Carrier
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1 Answer

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20 votes

Final answer:

To complete the square for the given equation
image, move the constant term, add the square of half of the coefficient of the x-term, and simplify to obtain C.
image

Step-by-step explanation:

To complete the square for the equation x² - 6x + 8 = 0, follow these steps:

Move the constant term to the right side of the equation: x² - 6x = -8

Take half of the coefficient of the x-term, square it, and add it to both sides of the equation:


image


image

Simplify both sides of the equation:
image

Therefore, the equivalent equation is
image which is option A.

User Jwimberley
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3.4k points