Question

Given that f(x) = 7x2 − 84, find x.

A) x = ±2
2
B) x = ±2
3
C) x = ±3
2
D) x = ±3
3

Answer 1

To solve for x in the equation f(x) = 7x² − 84, we set it to zero and find that x = ±√12, which simplifies to x = ±(2√3). The options given do not match this solution, which suggests a potential typo in the question.

Step-by-step explanation:

The question asks to solve for x in the quadratic function f(x) = 7x2 − 84. To find the value of x, we need to set the function equal to zero and solve for x:

7x2 - 84 = 0
x2 - 12 = 0
x2 = 12
x = ±√12
x = ±√(4 ⋅ 3)

Since √4 = 2, we can simplify this to:

x = ±(2√3)

The closest answers given are in the form of a fraction, though the actual values should be in the form of radical. The question as presented might contain a typo because none of the options precisely match the derived solution. However, if we consider possible typos, the most similar answer would be x = ±√3 because √3 is part of our solution.

Please verify the original problem to ensure that the options provided were accurate.

Answer 2

7*2
i think is the correct answer