Respuesta :

Answer:

d)  [tex]2x^2+12x+4=13[/tex]

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

The quadratic formula can be used to solve a quadratic equation in the form [tex]ax^2+bx+c=0[/tex]

From inspection of the given quadratic formula:

  • a = 2
  • b = 12
  • c = -9

Therefore, plugging these values into the general form of the quadratic equation:

[tex]2x^2+12x-9=0[/tex]

If we add 13 to both sides we get:

[tex]2x^2+12x+4=13[/tex]

Answer: D

Step-by-step explanation:

The quadratic formula helps you find the roots of a quadratic function, specifically where the function equals zero. In order for an equation to match the use of the quadratic formula shown, the value of 'b' must be +12. It also demands that 'a' must be +2, and 'c' must be -9. Answer D has all these prerequisites.

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