Question

Solve x³ = 125/27. Would there be that weird sign?

a) x = 5/3
b) x = 3/5
c) x = -5/3
d) x = -3/5

Answer 1

The cube root of 125 is 5, and the cube root of 27 is 3, hence the solution to x³ = 125/27 is x = 5/3, which is option (a).

Step-by-step explanation:

The student asked to solve the equation x³ = 125/27. To do this, we are looking for the cube root of 125/27, which simplifies to finding the cube root of both the numerator and the denominator separately. The cube root of 125 is 5 and the cube root of 27 is 3, so the solution is x = 5/3. Therefore, the correct answer is (a) x = 5/3.(Or)To solve the equation x³ = 125/27, we can take the cube root of both sides of the equation. The cube root of 125/27 is 5/3. Therefore, the solution to the equation x³ = 125/27 is x = 5/3, which corresponds to option a).