Question

Which quadratic equation is equivalent to (x-4)² – (x − 4) − 6 = 0?

A)O (u-4)2-(u-4)-6=0
where u = (x-4)

B)Ou²-(u-4)-6=0
where u = (x-4)

C)Ou²-16-u-6=0 where u = (x-4)

D)Ou²-u-6=0 where u = (x-4)

Answer 1

The quadratic equation u² - u - 6 = 0 where u = (x -4) is equivalent to (x-4)² – (x − 4) − 6 = 0 option (D) is correct.

What is a quadratic equation?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have a quadratic equation:

(x-4)² – (x − 4) − 6 = 0

Let (x - 4) = u

u² - u - 6 = 0

Thus, the quadratic equation u² - u - 6 = 0 where u = (x -4) is equivalent to (x-4)² – (x − 4) − 6 = 0 option (D) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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