solution

/sə'lu:ʃn/
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solution

The student found the solution to the math problem in the back of the book.

Definition
  1. Noun:
    • The act or process of solving a problem or question: The successful action of finding an answer to or dealing with a difficulty.
    • An answer to a problem or puzzle: A statement, method, or result that resolves a problem or explains how to solve it.
    • A homogeneous mixture of two or more substances: A liquid mixture in which a minor component (the solute) is uniformly distributed within a major component (the solvent).
    • The set of values that satisfy an equation: In mathematics, the answer or set of answers that make an equation true.
Usage Examples
  • Noun:
    • The engineers worked hard to find a solution to the bridge's structural weakness.
    • The solution to the crossword puzzle was published in the next day's newspaper.
    • She prepared a saline solution by dissolving salt in water.
    • After checking his work, he confirmed that x=5 was the correct solution to the equation.
Advanced Usage
  • "To be in solution": (Idiomatic) To be in a state of uncertainty, flux, or dissolution; not yet settled or fixed.
    • The company's future plans are still in solution; nothing has been finalized yet.
Variants and Related Words
  • Solvent (n): The liquid component of a solution, typically the substance that dissolves the solute.
    • Water is a common solvent for many salts.
  • Soluble (adj): Capable of being dissolved in a liquid.
    • Sugar is soluble in water.
  • Solve (v): To find an answer or solution to a problem or question.
    • He managed to solve the complex math problem.
Synonyms
  • Answer: A response to a question or problem.
  • Resolution: A firm decision or the act of solving a problem.
  • Mixture: A substance made by mixing other substances together (specifically for the chemistry meaning).
Related Phrases
  • Final solution: A phrase historically associated with a specific, horrific policy; in general modern usage, it means a definitive answer to a long-standing problem. (Note: This phrase carries extremely heavy historical connotations and must be used with extreme caution and awareness of context.)
  • Problem-solution structure: A common format in writing and speaking where a problem is presented, followed by its solution.
Idioms
  • The solution to someone's problems: An answer that resolves all of a person's difficulties (often used sarcastically).
    • He thinks buying a new car is the solution to all his problems, but it will just create more debt.
solution

The student found the solution to the math problem in the back of the book.

Noun
  1. the successful action of solving a problem
    • the solution took three hours
  2. the set of values that give a true statement when substituted into an equation
  3. a method for solving a problem
    • the easy solution is to look it up in the handbook
  4. a statement that solves a problem or explains how to solve the problem
    • they were trying to find a peaceful solution
    • the answers were in the back of the book
    • he computed the result to four decimal places
  5. a homogeneous mixture of two or more substances; frequently (but not necessarily) a liquid solution
    • he used a solution of peroxide and water

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