What is the solution of the equation x3−9=6 solving for x ? (1 point)
To solve the equation x^3 - 9 = 6, we can start by adding 9 to both sides to isolate the term x^3:
x^3 = 6 + 9
This simplifies to:
x^3 = 15
To find the value of x, we can take the cube root of both sides of the equation:
∛x^3 = ∛15
This gives us:
x = ∛15
Therefore, the solution to the equation x^3 - 9 = 6 is x = ∛15.
To solve the equation x^3 - 9 = 6 for x, we need to isolate the variable x on one side of the equation. Here's how you can do it step by step:
1. Start with the equation: x^3 - 9 = 6.
2. 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. This simplifies to x^3 = 15.
3. Now, we want to get rid of the exponent on the variable x by taking the cubed root of both sides of the equation. This gives us: ^(3√(x^3)) = ^(3√(15)).
4. Taking the cube root of x^3 simplifies to just x: x = ^(3√(15)).
So, the solution to the equation x^3 - 9 = 6 is x = ^(3√(15)).
To solve the equation x^3 - 9 = 6 for x, we need to isolate the variable x.
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: Take the cube root of both sides of the equation to solve for x:
∛(x^3) = ∛15
x = ∛15
So, the solution to the equation x^3 - 9 = 6, solving for x, is x = ∛15.