Answer:
5/31
Step-by-step explanation:
Let's solve the expression step by step using the given value of \(x\):
Given:
1. \(x = \frac{1}{x} = 5\)
Now, let's find the value of the expression \(x / (x^2 + x + 1)\) using the value of \(x\):
Step 1: Find \(x^2\):
\[x^2 = (x)^2 = 5^2 = 25\]
Step 2: Find \(x^2 + x + 1\):
\[x^2 + x + 1 = 25 + 5 + 1 = 31\]
Step 3: Find \(x / (x^2 + x + 1)\):
\[x / (x^2 + x + 1) = \frac{5}{31}\]
So, the value of \(x / (x^2 + x + 1)\) is \(\frac{5}{31}\).
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Answers & Comments
Answer:
5/31
Step-by-step explanation:
Let's solve the expression step by step using the given value of \(x\):
Given:
1. \(x = \frac{1}{x} = 5\)
Now, let's find the value of the expression \(x / (x^2 + x + 1)\) using the value of \(x\):
Step 1: Find \(x^2\):
\[x^2 = (x)^2 = 5^2 = 25\]
Step 2: Find \(x^2 + x + 1\):
\[x^2 + x + 1 = 25 + 5 + 1 = 31\]
Step 3: Find \(x / (x^2 + x + 1)\):
\[x / (x^2 + x + 1) = \frac{5}{31}\]
So, the value of \(x / (x^2 + x + 1)\) is \(\frac{5}{31}\).