What is the solution of the equation x3−9=6 solving for x ?

Question

An abstract representation of the mathematical concept where a three-dimensional object representing 'x', the variable, is surrounded by a heavenly landscape. This scene depicts the variation of cube roots, represented by the cube being divided into smaller cubes, on a number line that's wrapping around in a spiral form. The smaller cubes are pushing out from the large one, implying the process of extracting roots. In the background, a flurry of numbers is fluttering down like leafs in an autumn breeze to represent the subtlety of calculations. The equation 'x3−9=6' is not included in text within the image.

What is the solution of the equation x3−9=6 solving for x ?

Answer 1

To solve for x, you want to isolate x on one side of the equation. Start by subtracting 6 from both sides of the equation:

x^3 - 9 - 6 = 6 - 6
x^3 - 15 = 0
Next, add 15 to both sides:
x^3 = 15
To solve for x, take the cube root of both sides:
∛(x^3) = ∛15
x = ∛15
Thus, the solution to the equation x^3 - 9 = 6 is x = ∛15.

Answer 2

To solve for x in the equation x^3 - 9 = 6, follow these steps:

Step 1: Move the constant term to the other side of the equation:
x^3 = 6 + 9

Step 2: Simplify the right side of the equation:
x^3 = 15

Step 3: Take the cube root of both sides of the equation to solve for x:
∛(x^3) = ∛15

Step 4: Simplify the left side:
x = ∛15

Therefore, the solution to the equation x^3 - 9 = 6, solving for x, is x = ∛15.

Answer 3

To find the solution of the equation x^3 - 9 = 6 for x, we need to isolate x on one side of the equation.

Step 1: Add 9 to both sides of the equation to get rid of the constant term on the left side:
x^3 - 9 + 9 = 6 + 9
x^3 = 15

Step 2: Cube root both sides of the equation to get rid of the exponent on the left side and isolate x:
∛(x^3) = ∛15
x = ∛15

So, the solution for x is the cube root of 15.