Determine the solution to the following problem:
n5+10=−20
To find the solution to the equation n^5 + 10 = -20, we need to isolate n by subtracting 10 from both sides:
n^5 = -30
Now, to solve for n, we can take the fifth root of both sides:
n = -30^(1/5)
Using a calculator, this is approximately equal to -1.620807. Therefore, the solution to the equation is n ≈ -1.620807.
To find the solution to the equation n^5 + 10 = -20, follow these steps:
Step 1: Subtract 10 from both sides of the equation:
n^5 = -30
Step 2: Take the fifth root of both sides to solve for n:
n = ∛(-30)
Step 3: Simplify the cube root of -30:
n ≈ -1.9129
Therefore, the solution to the equation n^5 + 10 = -20 is approximately n ≈ -1.9129.
To determine the solution to the given problem, which is n^5 + 10 = -20, we need to isolate the variable 'n' and find its value. Here's how we can solve it step by step:
Step 1: Subtract 10 from both sides of the equation:
n^5 + 10 - 10 = -20 - 10
n^5 = -30
Step 2: Take the fifth root of both sides of the equation:
(n^5)^(1/5) = (-30)^(1/5)
Step 3: Simplify:
n = -30^(1/5)
Step 4: Evaluate the fifth root of -30 using a calculator:
n ≈ -1.753
So, the solution to the given problem is approximately n = -1.753.