<?php
include("phpequations.class.php");
$equations = new phpequations();
?>
<pre>
<h1>Examples for using phpEquations</h1>
<h2>Roots of a linear equation</h2>
5 - x + 2*4 = 88
<?
print_r($equations->solve("
5 - x + 2*4 = 88
"));
?>
<h2>System of linear equations</h2>
a+b+2*c=5
a-b = u
u-2*a=4
2*b=a
<?
print_r($equations->solve("
a+b+2*c=5
a-b = u
u-2*a=4
2*b=a
"));
?>
<h2>Roots of a polynomial equation</h2>
3*pow(x,5) + 9*pow(x,3)+ x = 8
<?
print_r($equations->solve("
3*pow(x,5) + 9*pow(x,3)+ x = 8
"));
?>
<h2>System of polynomial equations</h2>
pow(x,3)/7 +6*pow(y,2) + 5*pow(u,4) = 70
pow(x,4)/4 + 3*pow(y,3) + 2*pow(u,3) = 40
3*pow(x,3) +2*pow(y,2) = 0
<?
print_r($equations->solve("
pow(x,3)/7 +6*pow(y,2) + 5*pow(u,4) = 70
pow(x,4)/4 + 3*pow(y,3) + 2*pow(u,3) = 40
3*pow(x,3) +2*pow(y,2) = 0
"));
?>
<h2>Roots of a trigonometric equation</h2>
sin(A) + cos(A) = 0.5
<?
print_r($equations->solve("
sin(A) + cos(A) = 0.5
"));
?>
<h2>System of trigonometric equations</h2>
sin(A) + cos(B) = 0.5
pow(sin(A),2) - pow(cos(B),2) = 0.1
<?
print_r($equations->solve("
sin(A) + cos(B) = 0.5
pow(sin(A),2) - pow(cos(B),2) = 0.1
"));
?>
<h2>Volume of sphere</h2>
What will be the radius of sphere having volume of 10 m^3?
V = (4/3)*PI#*(pow(R,3))
V = 10
<?
print_r($equations->solve("
V = (4/3)*PI#*(pow(R,3))
V = 10
"));
?>
<h2>Height of building</h2>
One can see the top of a building at 35 deg from horizontal. Building is 20 m away. What is the height of building?
ANGLE_DEG = 35
DISTANCE = 20
tan(ANGLE_DEG*PI#/180)=HEIGHT/DISTANCE
<?
print_r($equations->solve("
ANGLE_DEG = 35
DISTANCE = 20
tan(ANGLE_DEG*PI#/180)=HEIGHT/DISTANCE
"));
?>
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