Question

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

Answer 1

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

Further explanation:

Given equation is:

$x^2-12x-9=0$

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

$x^2-12x=9$

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.

$\frac{12}{2}=6$

So, adding (6)^2 on both sides

$(x)^2-2.x.6+(6)^2=9+(6)^2\\(x-6)^2=9+36\\(x-6)^2=45$

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

#LearnwithBrainly