Solve for n
n³-1 = 27-1
A. ±3 B. 3 C. -3
n³-1 = 27-1 simplifies to n³ = 26
Taking the cube root of both sides gives n = ∛26
Therefore, the solution for n is neither A, B, nor C.
n³-1 = 27-1
n³ = 27-1+1
n³ = 27-0
n³ = 27
n = 3√27
n = 3
The correct solution is B. n = 3
To solve for n in the equation n³ - 1 = 27 - 1, we can simplify the equation and then take the cube root of both sides.
First, simplify the equation on the right side:
27 - 1 = 26
Now our equation becomes:
n³ - 1 = 26
Next, add 1 to both sides of the equation:
n³ = 27
To solve for n, take the cube root of both sides:
∛(n³) = ∛27
Cube root of n³ is n:
n = ∛27
The cube root of 27 is 3, because 3 × 3 × 3 = 27.
Therefore, the value of n is 3.
So, the answer is B. 3.