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Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2?
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Follow the following equations using transportation method and check t...
Transportation Method to Solve Equation x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2
Step 1: Rewrite the Equation
First, rewrite the given equation to make it easier to work with:
x^3 + 3x^2 - 2x^2 - 10x + 12 = x^2 - 4x + 3x - 12 - 2
Step 2: Simplify the Equation
Simplify both sides of the equation to get:
x^3 + x^2 - 10x + 12 = x^2 - x - 14
Step 3: Rearrange the Equation
Rearrange the equation to bring all terms to one side:
x^3 + x^2 - 10x + 12 - x^2 + x + 14 = 0
x^3 - 9x + 26 = 0
Step 4: Solve using Transportation Method
Now, apply the transportation method to solve the cubic equation x^3 - 9x + 26 = 0:
- Start by assuming a value for x, say x = 1
- Calculate the value of the equation at x = 1
- If the value is not zero, try a different value for x
- Continue this process until you find a value that satisfies the equation
Step 5: Check the Solution
After finding the solution using the transportation method, substitute the value back into the original equation to verify if it satisfies the equation:
x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2
Conclusion
By following the transportation method, you can solve the given equation and verify the solution to ensure its accuracy. This method helps in systematically approaching and solving equations with multiple variables.
Step 1: Rewrite the Equation
First, rewrite the given equation to make it easier to work with:
x^3 + 3x^2 - 2x^2 - 10x + 12 = x^2 - 4x + 3x - 12 - 2
Step 2: Simplify the Equation
Simplify both sides of the equation to get:
x^3 + x^2 - 10x + 12 = x^2 - x - 14
Step 3: Rearrange the Equation
Rearrange the equation to bring all terms to one side:
x^3 + x^2 - 10x + 12 - x^2 + x + 14 = 0
x^3 - 9x + 26 = 0
Step 4: Solve using Transportation Method
Now, apply the transportation method to solve the cubic equation x^3 - 9x + 26 = 0:
- Start by assuming a value for x, say x = 1
- Calculate the value of the equation at x = 1
- If the value is not zero, try a different value for x
- Continue this process until you find a value that satisfies the equation
Step 5: Check the Solution
After finding the solution using the transportation method, substitute the value back into the original equation to verify if it satisfies the equation:
x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2
Conclusion
By following the transportation method, you can solve the given equation and verify the solution to ensure its accuracy. This method helps in systematically approaching and solving equations with multiple variables.
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Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2?
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Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2?.
Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Follow the following equations using transportation method and check the solution the question is x (x - 2) (X + 5 )+ 12 = (X + 3) (X - 4) - 2?.
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