Determine the solution to the following problem:
n5+10=−20
(1 point)
Responses
-150
-150
-50
-50
-6
-6
-2
-6
To solve the equation n^5 + 10 = -20, we need to isolate the variable n.
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 to eliminate the exponent.
∛(n^5) = ∛(-30)
n = -∛30 (or approximately -3.107)
Therefore, the solution to the equation n^5 + 10 = -20 is approximately n = -3.107
To solve the equation n^5 + 10 = -20, we need to isolate the variable n.
First, we can subtract 10 from both sides of the equation:
n^5 + 10 - 10 = -20 - 10
This simplifies to:
n^5 = -30
Next, we can take the fifth root of both sides of the equation to eliminate the exponent:
n = (-30)^(1/5)
Now, calculating the fifth root of -30:
n ≈ -2.365