Question

If you are solving the equation: x3=−2764
and the equation x2=2564
, check TWO statements that are true about the solutions to these equations.(2 points)

The solutions to the equation x2=2564
are x = −58
and x = 58

The only solution to the equation x2=2564
is x = 58

The only solution to the equation x3=−2764
is x = −34

The solutions to the equation x3=−2764
is x = −34
and x = 34

Answer 1

None of the four statements is true.

Work:
- x^2 = 2564 ⇒ x = ±√2564 ≈ ±50.634 (so x = ±58 is wrong).
- x^3 = −2764 ⇒ x = −∛2764 ≈ −14.047 (so x = −34 or ±34 are wrong).

(If the problem had a typo, the intended correct pair might differ, but with the given numbers none of the listed statements are true.)