What is the solution to x3=−343?(1 point)
Responses
x=343−−−√2
x equals root index 2 Start Root 343 End Root
x=343−−−√3
x equals root index 3 Start Root 343 End Root
x=−343−−−−√3
x equals root index 3 Start Root negative 343 End Root
x=−−343−−−−√3
x = -7
To find the solution to x^3 = -343, we can use the fact that the cube root of a number is the number that, when raised to the power of 3, gives the original number.
So, the solution is:
x = ∛(-343)
Simplifying this expression:
x = -7
To find the solution to the equation x^3 = -343, you need to find the cube root of -343.
The expression "x = -343^(1/3)" is read as "x equals the cube root of -343."
To simplify this expression, you can use a calculator that has a cube root function.
Alternatively, you can also simplify it manually by prime factorizing -343.
-343 can be written as -7^3, since (-7) * (-7) * (-7) = -343.
So, the solution to the equation x^3 = -343 is x = -7.
Therefore, x equals -7 is the correct solution to the equation x^3 = -343.