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7. The values of x satisfying the equation
2
2
(2 +5 -2)- (2 +5 -9)
x x x x
= 1 are
a) (2, –9/2) b) (4, –9)
c) (2, 9/2)
d) (–2, 9/2)
ca foundation?
2
2
(2 +5 -2)- (2 +5 -9)
x x x x
= 1 are
a) (2, –9/2) b) (4, –9)
c) (2, 9/2)
d) (–2, 9/2)
ca foundation?
Most Upvoted Answer
7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x ...
Understanding the Equation
The given equation is:
2 * 2 * (2 + 5 - 2) - (2 + 5 - 9) * x * x * x * x = 1
Let's simplify this step by step.
Step 1: Simplifying the Terms
- Calculate the constant parts:
- 2 + 5 - 2 = 5
- 2 + 5 - 9 = -2
Thus, the equation simplifies to:
2 * 2 * 5 - (-2) * x * x * x * x = 1
Step 2: Further Simplification
This can be further written as:
20 + 2x^4 = 1
Step 3: Rearranging the Equation
To find the values of x, we rearrange it:
2x^4 = 1 - 20
2x^4 = -19
Step 4: Solving for x
Dividing both sides by 2:
x^4 = -19/2
Since the left side (x^4) cannot be negative, we conclude that there are no real solutions.
Interpreting the Results
As there are no real roots, the options provided (a, b, c, d) do not yield valid solutions. It's essential to assess the nature of the equation and recognize that the negative value on the right indicates complex or non-existent real solutions.
Conclusion
The original equation does not have real solutions, and hence none of the provided answer options (a, b, c, d) are correct. In such problems, always check the possibility of real solutions based on the equation's structure.
The given equation is:
2 * 2 * (2 + 5 - 2) - (2 + 5 - 9) * x * x * x * x = 1
Let's simplify this step by step.
Step 1: Simplifying the Terms
- Calculate the constant parts:
- 2 + 5 - 2 = 5
- 2 + 5 - 9 = -2
Thus, the equation simplifies to:
2 * 2 * 5 - (-2) * x * x * x * x = 1
Step 2: Further Simplification
This can be further written as:
20 + 2x^4 = 1
Step 3: Rearranging the Equation
To find the values of x, we rearrange it:
2x^4 = 1 - 20
2x^4 = -19
Step 4: Solving for x
Dividing both sides by 2:
x^4 = -19/2
Since the left side (x^4) cannot be negative, we conclude that there are no real solutions.
Interpreting the Results
As there are no real roots, the options provided (a, b, c, d) do not yield valid solutions. It's essential to assess the nature of the equation and recognize that the negative value on the right indicates complex or non-existent real solutions.
Conclusion
The original equation does not have real solutions, and hence none of the provided answer options (a, b, c, d) are correct. In such problems, always check the possibility of real solutions based on the equation's structure.
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7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation?
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7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation?.
7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation?.
Solutions for 7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation? in English & in Hindi are available as part of our courses for UPSC.
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7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation?, a detailed solution for 7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation? has been provided alongside types of 7. The values of x satisfying the equation 2 2 (2 +5 -2)- (2 +5 -9) x x x x = 1 are a) (2, –9/2) b) (4, –9) c) (2, 9/2) d) (–2, 9/2)ca foundation? theory, EduRev gives you an
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