Question

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. what is the solution to this equation? cubed square root of (1/8-x)=-1/2

Answer 1

To solve the equation involving the cube root, we cube both sides to remove the root and find that x equals 1/4.

Step-by-step explanation:

To solve the equation cubed square root of (1/8-x)=-1/2, we start by eliminating the cube root. The cube root of a number, when cubed, gives the original number. Therefore, let's cube both sides of the equation to eliminate the cube root.

(cubed square root of (1/8-x))^3 = (-1/2)^3

This simplifies to:

1/8 - x = -1/8

Now, let's isolate the variable x by adding x to both sides and adding 1/8 to both sides to get:

1/8 + 1/8 = x

x = 1/4

The solution to the equation is x = 1/4.