(x-5)^1/3 -4=-2
cuberoot(n+8)-6=-3
X=13
(x-5)^1/3=2 then you raise 2 to the 3rd power add 5 and voila...x=13
To solve the equation (x-5)^(1/3) - 4 = -2, we can follow these steps:
Step 1: Begin by isolating the term (x-5)^(1/3) on one side of the equation. To do this, add 4 to both sides:
(x-5)^(1/3) = -2 + 4
= 2
Step 2: Next, raise both sides of the equation to the power of 3 in order to cancel out the exponent (1/3) on the left side:
[(x-5)^(1/3)]^3 = 2^3
(x-5)^1 = 8
Step 3: Simplify the right side of the equation:
x - 5 = 8
Step 4: To get x by itself, we can isolate the x term by adding 5 to both sides:
x = 8 + 5
= 13
Therefore, the solution to the equation (x-5)^(1/3) - 4 = -2 is x = 13.