Respuesta :

The statement “In the process of completing the square, 3x2 + 7x - 12 becomes x^2+7/4x=4” is FALSE. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer:

False.

because in the process of completing the square, [tex]3x^2+7x-12 = 0[/tex] become [tex]x^2+\frac{7}{3}x = 4[/tex] but not [tex]x^2+\frac{7}{4}x = 4[/tex]

Step-by-step explanation:

Given the equation: [tex]3x^2+7x-12 = 0[/tex]

Divide both sides by 3 we get;

[tex]x^2+\frac{7}{3}x -4=0[/tex]

Add 4 to both sides we have;

[tex]x^2+\frac{7}{3}x -4+4=0+4[/tex]

Simplify:

[tex]x^2+\frac{7}{3}x = 4[/tex]

In the process of completing the square, [tex]3x^2+7x-12 = 0[/tex] becomes [tex]x^2+\frac{7}{3}x = 4[/tex]  not [tex]x^2+\frac{7}{4}x = 4[/tex]

Therefore, the statement is FALSE.

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