Learn How to Solve Equations: Tips and Tricks for Accurate Results

  • Context: High School 
  • Thread starter Thread starter mit11
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SUMMARY

This discussion focuses on solving equations accurately, emphasizing the importance of substitution to verify solutions. A participant highlights an error in the application of the product rule, indicating that a term was omitted in the second line of the solution. The conversation underscores the necessity of careful term management in algebraic manipulations to achieve correct results.

PREREQUISITES
  • Understanding of algebraic equations
  • Familiarity with the product rule in calculus
  • Knowledge of substitution methods for verifying solutions
  • Basic skills in algebraic manipulation
NEXT STEPS
  • Study the product rule in calculus for better application
  • Practice substitution methods for verifying algebraic solutions
  • Explore common errors in algebraic manipulations
  • Learn techniques for simplifying complex equations
USEFUL FOR

Students, educators, and anyone looking to improve their skills in solving equations and understanding algebraic principles.

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I tried to solve this equation. can anyone please look at this and tell me if this is correct? If not help me out please.

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You can find out whether it is correct by subtituting it back into the equation. I think it doesn't quite work out the final answer seems still to be dependent on r.

In the second line you are suddenly missing a term from the product rule.
 

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