IB DP Maths: AA SL复习笔记2.4.3 Solving Equations
Solving Equations Analytically
How can I solve equations analytically where the unknown appears only once?
How can I solve equations analytically where the unknown appears more than once?
- Sometimes it is possible to simplify expressions to make the unknown appear only once
- Collect all terms involving x on one side and try to simplify into one term
How can I solve equations analytically when the equation can't be simplified?
- Sometimes it is not possible to simplify equations
- Most of these equations cannot be solved analytically
- A special case that can be solved is where the equation can be transformed into a quadratic using a substitution
- These will have three terms and involve the same type of function
- Identify the suitable substitution by considering which function is a square of another
Can I divide both sides of an equation by an expression?
- When dividing by an expression you must consider whether the expression could be zero
- Dividing by an expression that could be zero could result in you losing solutions to the original equation
Exam Tip
Worked Example
Solving Equations Graphically
How can I solve equations graphically?
Why do I need to solve equations graphically?
- Some equations cannot be solved analytically
Exam Tip
- On a calculator paper you are allowed to solve equations using your GDC unless the question asks for an algebraic method
- If your answer needs to be an exact value then you might need to solve analytically to get the exact value
Worked Example
转载自savemyexams
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