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Casio fx-CG50 field manual for IB Math

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19

Solving an equation numerically

All courses

Type an equation in as it is written and let the calculator solve it. The TI-84 and Nspire return one root chosen by your starting guess, so a second pass is needed for a second root; the Casio returns the whole list.

Goal

Solve ​ex=5x​ for all real ​x.

1

Press and choose Run-Matrix. Everything here happens on the calculation screen.

2

Paste the solver command with (CALC) (SolveN). The screen shows SolveN( and waits for the equation.

3

Type the equation as written, equals sign included: for ​ex, then for =, then . Press .

MathRadNorm2
d/cReal
SolveN(ex=5x)
{0.2591711018, 2.542641358}
JUMPDELETE▶MAT/VCTMATH
4

SolveN returns every root at once. The answer appears in braces, listing each root the calculator found, so there is no starting guess to supply and no second pass to run. Scroll the list sideways with if it is wider than the screen.

5

The one thing it can still miss is a root outside its search range, which by default is finite. If a graph shows a crossing that is not in the list, restrict the equation to that region by adding a range to the command, or fall back to graphing and reading the crossing directly.

Result

​x=0.259​ and ​x=2.54​ to 3 s.f.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Solve ​lnx=x−2.

  2. 2

    Solve ​x3=2x.

  3. 3

    Solve ​cosx=x2−1, working in radians.