High School

Which of the numbers listed below are solutions to the equation [tex]x^2 = -7[/tex]? Check all that apply.

A. -5
B. 49
C. -3.5
D. 57
E. -7
F. None of these

Answer :

The equation x^2 = -7 has no real solutions because the square of any real number cannot be negative. Therefore, the correct answer is F. None of these.

The equation given is x² = -7. For any real number x, the square of x (x²) will always be non-negative, meaning that it cannot be a negative number. Since -7 is a negative number, there are no real solutions to the equation x² = -7. Therefore, the correct answer is F. None of these.