How to start with Equations solver - Equation calculator software ?

• Open Genius Maker software and click "Equations Solver" button. It opens the Equations Solver window as shown above.
• It automatically shows a mathematical equation in the equation box, which was typed last time or the default equation.
• Click "Find Solutions" button.
• The software starts finding solution. The progress of the solver is displayed below the solution box along with the message "Solver Running ... ". As the search progresses, the software displays the found solutions in the solution box one below the other. Once search is completed, progress displays the message " Solver action completed". If you want to stop the solver action at any time during the running process, you may press the "STOP" button.

• Now try typing another equation on the equation box. A few sample equations as well as syntax for constructing equations are given at the end of this page.

• Let us type tan(x) = 0
• Set range for finding solutions as From x = 0 To x = 30
• Set precision as 6 decimal places
• Click "Find Solutions" button.
• The software starts finding solution and the final solution display reads like the following.

  x = 0
  x = 3.141593
  x = 6.283185
  x = 9.424778
  x = 12.566371
  x = 15.707963
  x = 18.849556
  x = 21.991149
  x = 25.132741
  x = 28.274334

• You may notice that it has returned solutions in the range of 0 to 30 only. Also the solutions are displayed with a precision of 6 digits.
• All the equations typed by you, are stored in the equation combo box. Hence you need not re-type a recently typed equation, instead, you click the down arrow in the equation box and select the required equation. To clear the history of equations typed, press the "Clear history" button. Please note that, this action will not delete the default equations set in the software itself.

Solving Options :

• Range for finding solutions: Here you have to set a lower and upper value for ' x '. The solver will be searching for solutions only in the range prescribed. Broader the precision, longer will be the duration for solving.

• Precision : Here you have to select the precision required in number of decimal places. You can set any precision ranging from 2 decimals to 10 decimals. Higher the precision, longer will be the duration for solving.

• Search depth : You can set a desired search depth for finding solution by moving the slider to any position. The default position is normal depth, which is sufficient to solve most of the regular equations. If you set for a deeper search, the solver does an enhanced search, but it will consume more time to solve.

Sample Equations:

The following are a few examples of equations you can try solving.

Mathematical Expression	Way of typing the equation
sin(x) = 0.6	sin(x) = 0.6
x² + 3x = 2	x^2 + 3*x = 2
2x² + 5x = sin(x)	2*x^2 + 5*x = sin(x)
(x² - 4) / x = 2	(x^2 - 4) / x = 2
sin(π/3) . sin(x) = 0.1	sin(pi/3) * sin(x) = 0.1
2x³ + 5x² - 31x - 2 = 0	2*x^3 + 5*x^2 - 31*x - 2 = 0

Sample result of f(x) = Sin(x) or y = Sin(x)

Syntax for equations:

The following table gives the syntax to be followed for constructing the equations.

OPERATION	OPERATOR	USAGE EXAMPLE	Remarks
Addition	+	x + 5
Subtraction	-	x – 3
Multiplication	*	4 * x
Division	/	x / 3
Power of a numbe r	^	x ^ 3
Exponent	e	2.345 e -34	For large / small numbers
Square root	sqr()	sqr (x)	Assumes only +ve root
Value of π	pi	2*pi/3
Sine	sin()	sin (x)	Angle in radians
Cosine	cos()	cos (x)	Angle in radians
Tangent	tan()	tan (x)	Angle in radians
Cosecant	csc()	csc (x)	Angle in radians
Secant	sct()	sct (x)	Angle in radians
Cotangent	cot()	cot (x)	Angle in radians
Arc Tangent	atn()	atn (x)	Returns angle in radians