SL 2.10—Solving equations

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.