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Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 - 12x - 9 = 0 A) (x - 36)2 = 9 B) (x - 36)2 = -9 C) (x - 6)2 = 45 D) (x - 6)2 = -45

Respuesta :

absor201

Hence, the correct answer is: C) (x - 6)^2 = 45

Further explanation:

Given equation is:

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

We will move the constant term on other side of the equation

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

To complete the square, we will take the coefficient of x and divide it by 2, as we already know that one term is x.

[tex]\frac{12}{2}=6[/tex]

So, adding (6)^2 on both sides

[tex](x)^2-2.x.6+(6)^2=9+(6)^2\\(x-6)^2=9+36\\(x-6)^2=45[/tex]

Hence, the correct answer is: C) (x - 6)^2 = 45

Keywords: Quadratic Equation, Solution of equation

Learn more about quadratic equation at:

  • brainly.com/question/4695279
  • brainly.com/question/4703807

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