Question

Which shows the correct substitution of the values a, b, and c from the equation -2 = -x + x? - 4 into the quadratic formula?

a) x = -1/12 - 4(-1)(-4) / (2(1))
b) x = -18 ± √(1^2 - 4(1)(-4)) / (2(-1))
c) x = (-1)^3 – 4(1)(2) / (2(1))
d) x = -(-1) / (2(1))

Answer 1

None of the given answer choices correctly show the substitution into the quadratic formula for the equation -2 = -x + x? - 4, which seems to have a typographical error. A corrected equation x² - 2 = 0 would result in x = ± √(8) / 2 after applying the correct values to the quadratic formula.

Step-by-step explanation:

The correct substitution of values a, b, and c from the equation -2 = -x + x? - 4 into the quadratic formula is not present in the options provided. However, if we are to correct the given quadratic equation to -2 = x² - 4, which simplifies to x² - 4 + 2 = 0 or x² - 2 = 0, we can identify that a = 1, b = 0, and c = -2. Using these values in the quadratic formula yields x = –b ± √(b² − 4ac) / (2a), resulting in x = –0 ± √(0 − 4(1)(−2)) / (2(1)), which simplifies to x = ± √(8) / 2. Therefore, the values for x are not clearly represented by any of the answer choices provided.