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
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Answer 1

None of the four statements are true.

Reason:
- x^2 = 2564 has solutions x = ±sqrt(2564) = ±2√641 ≈ ±50.634, not ±58, so statements 1 and 2 are false.
- x^3 = −2764 has only one real solution x = ∛(−2764) ≈ −14.03, not ±34 or −34, so statements 3 and 4 are false.