SL 2.10—Solving equations
- Syllabus
- First assessment 2021
- Objective
- —
- Level
- HL
Choose graphical or analytic equation solving deliberately
Choose graphical or analytic equation solving deliberately.
An equation can be solved by algebra when structure permits, or by graph intersection/technology when an exact analytic route is unsuitable.
Worked example
x²=5 gives ±√5 analytically; eˣ=3 can be reported as ln3 or approximated.
Worked example
What does an intersection represent? equal y-values, hence a solution to f(x)=g(x).
Common boundary
A calculator decimal is not automatically the exact solution.