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Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.?
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Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.?
Given Equation:
(x+1/x+2)² = (x+2)/(x+4)
Step 1: Expand the left side of the equation
(x+1/x+2)² = (x+1/x+2) * (x+1/x+2)
= x² + 2 + 1/x² + 4/x + 1/x²
= x² + 2 + 2/x + 1/x²
Step 2: Substitute the expanded left side back into the equation
(x² + 2 + 2/x + 1/x²) = (x+2)/(x+4)
Step 3: Cross multiply to get rid of fractions
(x² + 2 + 2/x + 1/x²)(x+4) = (x+2)
(x²(x+4) + 2(x+4) + 2 + 1/x²(x+4)) = (x+2)
Step 4: Expand and simplify the equation
x³ + 4x² + 2x + 8 + 2x + 8 + 2 + 1/x²(x+4) = x + 2
x³ + 4x² + 4x + 12 + 2 + 1/x²(x+4) = x + 2
Step 5: Simplify further
x³ + 4x² + 4x + 14 + 1/x²(x+4) = x + 2
Step 6: Solve for x
Now, you can solve for x by simplifying the equation further and finding the value that satisfies the equation.
Hence, by following the above steps, you can solve the given equation to find the value of x.
(x+1/x+2)² = (x+2)/(x+4)
Step 1: Expand the left side of the equation
(x+1/x+2)² = (x+1/x+2) * (x+1/x+2)
= x² + 2 + 1/x² + 4/x + 1/x²
= x² + 2 + 2/x + 1/x²
Step 2: Substitute the expanded left side back into the equation
(x² + 2 + 2/x + 1/x²) = (x+2)/(x+4)
Step 3: Cross multiply to get rid of fractions
(x² + 2 + 2/x + 1/x²)(x+4) = (x+2)
(x²(x+4) + 2(x+4) + 2 + 1/x²(x+4)) = (x+2)
Step 4: Expand and simplify the equation
x³ + 4x² + 2x + 8 + 2x + 8 + 2 + 1/x²(x+4) = x + 2
x³ + 4x² + 4x + 12 + 2 + 1/x²(x+4) = x + 2
Step 5: Simplify further
x³ + 4x² + 4x + 14 + 1/x²(x+4) = x + 2
Step 6: Solve for x
Now, you can solve for x by simplifying the equation further and finding the value that satisfies the equation.
Hence, by following the above steps, you can solve the given equation to find the value of x.
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Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.?
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Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.?.
Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve : (x+1/x+2) ² = x+2/x+4 Find the value of x, with process.?.
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