To solve the equation x³ – 125 = 0, we can start by isolating x³. We do this by adding 125 to both sides of the equation:
x³ = 125
Next, to find the value of x, we take the cube root of both sides:
x = ∛125
Since 125 can be expressed as 5³, we can simplify:
x = ∛(5³) = 5
Thus, the solution to the equation is:
x = 5
This means that when you substitute 5 back into the original equation, you will see that:
5³ – 125 = 0
Which confirms our solution is correct.