aeddington aeddington

13-03-2024
Mathematics

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complete the square of the quadratic expression x² + 6x

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TaylorBayley TaylorBayley

13-03-2024

Answer:

[tex](x+3)^2-9[/tex]

Step-by-step explanation:

Halving the value of b (coefficient in front of x) gives us 3.

[tex](x+3)^2=x^2+6x+9[/tex]

Our c=0, so we correct this by subtracting 9.

[tex]\boxed{x^2+6x=(x+3)^2-9}[/tex]

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