Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 - 12x - 9 =

Question

3 years ago

10

0 A) (x - 36)2 = 9 B) (x - 36)2 = -9 C) (x - 6)2 = 45 D) (x - 6)2 = -45

1 answer:

marissa [1.9K] · Answer 1 · 2022-01-06T01:07:50+03:00

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

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