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If x+ 1/x = √5 then find the value of x²+ 1/x².?
Most Upvoted Answer
If x+ 1/x = √5 then find the value of x²+ 1/x².?
Given:
x * 1/x = √5
To find:
The value of x² * 1/x²
Solution:
Step 1: Simplify the given equation:
x * 1/x = √5
The product of a number and its reciprocal is always 1. Therefore, we can simplify the equation as:
1 = √5
Step 2: Square both sides of the equation:
By squaring both sides of the equation, we get:
1² = (√5)²
1 = 5
Step 3: Analyze the result:
From step 2, we can see that the equation has led to a contradiction. The equation 1 = 5 is not true, which means the given equation x * 1/x = √5 does not have a valid solution.
Conclusion:
There is no valid value of x that satisfies the equation x * 1/x = √5. Hence, we cannot find the value of x² * 1/x².
x * 1/x = √5
To find:
The value of x² * 1/x²
Solution:
Step 1: Simplify the given equation:
x * 1/x = √5
The product of a number and its reciprocal is always 1. Therefore, we can simplify the equation as:
1 = √5
Step 2: Square both sides of the equation:
By squaring both sides of the equation, we get:
1² = (√5)²
1 = 5
Step 3: Analyze the result:
From step 2, we can see that the equation has led to a contradiction. The equation 1 = 5 is not true, which means the given equation x * 1/x = √5 does not have a valid solution.
Conclusion:
There is no valid value of x that satisfies the equation x * 1/x = √5. Hence, we cannot find the value of x² * 1/x².
Community Answer
If x+ 1/x = √5 then find the value of x²+ 1/x².?
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If x+ 1/x = √5 then find the value of x²+ 1/x².?
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If x+ 1/x = √5 then find the value of x²+ 1/x².? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If x+ 1/x = √5 then find the value of x²+ 1/x².? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x+ 1/x = √5 then find the value of x²+ 1/x².?.
If x+ 1/x = √5 then find the value of x²+ 1/x².? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If x+ 1/x = √5 then find the value of x²+ 1/x².? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x+ 1/x = √5 then find the value of x²+ 1/x².?.
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