Question
Determine the solution to the following problem:
n5+10=−20
(1 point)
Responses
-150
-150
-50
-50
-6
-6
-2
-2
To solve the equation n^5 + 10 = -20, we need to isolate the variable n. We can do this by subtracting 10 from both sides of the equation:
n^5 + 10 - 10 = -20 - 10
This simplifies to:
n^5 = -30
To find the value of n, we need to take the fifth root of both sides of the equation:
∛(n^5) = ∛(-30)
This gives us:
n = -∛30
So, the solution to the equation is n = -∛30.
To solve the equation n^5 + 10 = -20, you need to isolate the variable n.
Step 1: Subtract 10 from both sides of the equation to eliminate the constant term on the left side:
n^5 + 10 - 10 = -20 - 10
n^5 = -30
Step 2: To get rid of the exponent, take the fifth root of both sides of the equation:
√(n^5) = √(-30)
n = -∛30
So, the solution to the equation is n = -∛30, which is approximately -3.107.