Final answer:
After simplifying the given equation, none of the provided options match the simplified form of the quadratic equation. It's likely that there is an error either in the question or answer choices.
Step-by-step explanation:
The question is asking which quadratic equation is equivalent to the given equation (x² -1) -11 ( x² -1)+24 =0. To start, we want to simplify the given equation. The expression (x² -1) appears twice, so we can factor that out first:
(x² - 1)(1 - 11) + 24 = 0
This simplifies to:
(x² - 1)(-10) + 24 = 0-10x² + 10 + 24 = 0-10x² + 34 = 0
When simplified further, we get:
x² - 3.4 = 0
This now resembles a simplified quadratic equation of the form ax² + bx + c = 0. In comparing the options given, none of them match the simplified form obtained here, which indicates a possible mistake in the initial question or the answer choices. It is possible that the student has made a typo when providing the equations or that there is an error elsewhere. As a tutor, I recommend revisiting the original equations and ensuring they are written correctly before attempting to match them with the choices given.