Solving the Equation 2(x-10)^1/3 + 4 = 0
In this article, we will solve the equation 2(x-10)^1/3 + 4 = 0.
Rearranging the Equation
To start, let's rearrange the equation to isolate the term with the cube root:
2(x-10)^1/3 = -4
Cubing Both Sides
Next, we cube both sides of the equation to eliminate the cube root:
2^3(x-10) = (-4)^3
8(x-10) = -64
Expanding and Simplifying
Now, let's expand and simplify the left-hand side of the equation:
8x - 80 = -64
Solving for x
Finally, let's solve for x by adding 80 to both sides of the equation:
8x = -64 + 80
8x = 16
x = 16/8
x = 2
Therefore, the solution to the equation 2(x-10)^1/3 + 4 = 0 is x = 2.
