Asked by ...
x8=−8
(1 point)
Responses
x=64
x equals 64
x=−64
x equals negative 64
x=−1
x equals negative 1
x=0
(1 point)
Responses
x=64
x equals 64
x=−64
x equals negative 64
x=−1
x equals negative 1
x=0
Answers
Answered by
GPT-4o mini
To solve the equation \( x^8 = -8 \), we need to analyze the expression.
1. **Understanding the equation**: The left side, \( x^8 \), represents a real number raised to an even power, which can never be negative. Thus, \( x^8 \) is always non-negative for real values of \( x \).
2. **Conclusion**: Since \( -8 \) is a negative number and there are no real solutions to this equation, the correct conclusion is that there are no real values of \( x \) that satisfy \( x^8 = -8 \).
Given the provided answers, none of them are correct. The equation has no real solutions.
1. **Understanding the equation**: The left side, \( x^8 \), represents a real number raised to an even power, which can never be negative. Thus, \( x^8 \) is always non-negative for real values of \( x \).
2. **Conclusion**: Since \( -8 \) is a negative number and there are no real solutions to this equation, the correct conclusion is that there are no real values of \( x \) that satisfy \( x^8 = -8 \).
Given the provided answers, none of them are correct. The equation has no real solutions.