Question 16 of 40
5 Points
Which equation shows x2 +6x-4 - 0 rewritten by completing the square?
O A. (x+37² = 4
O B. (x+3)= 36
O C. (x+3) = 13
D. (x+3)2 = 9
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Respuesta :

Answer:

Option C. [tex](x+3)^2=13[/tex]

Step-by-step explanation:

we have

[tex]x^2+6x-4=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]x^2+6x+3^2=4+3^2[/tex]

[tex]x^2+6x+9=13[/tex]

Rewrite as perfect squares

[tex](x+3)^2=13[/tex]

Answer:

C

Step-by-step explanation:

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