Manuals/calci/QUADRATIC - Revision history

Devika: /* Description */

2018-10-23T19:29:31Z

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Devika at 20:31, 28 June 2018

2018-06-28T20:31:58Z

Swapna: Created page with "
'''QUADRATIC(a,b,c)'''

* $a$ , $b$ and $c$ are any real numbers. ==Description== *This function gives t..."

2017-04-11T02:26:28Z

Created page with "<div style="font-size:30px">'''QUADRATIC(a,b,c)'''</div><br/> *<math>a</math>,<math>b</math> and <math>c</math> are any real numbers. ==Description== *This function gives t..."

New page

<div style="font-size:30px">'''QUADRATIC(a,b,c)'''</div><br/>
*<math>a</math>,<math>b</math> and <math>c</math> are any real numbers.

==Description==
*This function gives the root values of a quadratic equation.
*In elemetary algebra, general quadratic equation is <math>a{x^2}+bx+c</math> where <math>a</math>,<math>b</math> and <math>c</math> are constant values and <math>x</math> is unknown.
*Constant <math>a</math> cannot be equal to zero(0).
*The roots of a quadratic equation can be calculated as -
<math>x= (-b + \sqrt{b^2 - 4ac}) / 2a </math> and
<math>x= (-b - \sqrt{b^2 - 4ac}) / 2a </math>
*Geometrically, these roots represent the x values at which any parabola, explicitly given as y = ax2 + bx + c, crosses the x-axis.
*The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x^2).
It is also called an "Equation of Degree 2" (because of the "2" on the x)
*Discriminant:
'''(b^2 − 4ac)''' in the formula above is called the Discriminant, because it can "discriminate" between the possible types of answer:

when (b^2 − 4ac) is positive, we get two Real solutions <br>
when it is zero, we get just ONE real solution (both answers are the same) <br>
when it is negative, we get two Complex solutions.

==Examples==
#=QUADRATIC(5,6,1)=-1 ; -0.2
#=QUADRATIC(5,2,1)=-0.2-ⅈ0.4 ; -0.2+ⅈ0.4
#=QUADRATIC(2,3,4)= -0.75-ⅈ1.1989578808281798 ; -0.75+ⅈ1.1989578808281798

==Related Videos==
{{#ev:youtube|IWigvJcCAJ0|280|center|QUADRATIC EQUATION}}

==See Also==
*[[Manuals/calci/SQRT | SQRT ]]
*[[Manuals/calci/SQRTPI | SQRTPI ]]
*[[Manuals/calci/POWER | POWER ]]

==References==
*[https://en.wikipedia.org/wiki/Quadratic_formula Quadratic Formula]

*[[Z_API_Functions | List of Main Z Functions]]

*[[ Z3 | Z3 home ]]

@@ Line 5: / Line 5: @@
 ==Description==
 *This function gives the root values of a quadratic equation.
-*In elemetary algebra, general quadratic equation is <math>a{x^2}+bx+c</math> where <math>a</math>,<math>b</math> and <math>c</math> are constant values and <math>x</math> is unknown.
+*In elementary algebra, general quadratic equation is <math>a{x^2}+bx+c</math> where <math>a</math>,<math>b</math> and <math>c</math> are constant values and <math>x</math> is unknown.
 *Constant <math>a</math> cannot be equal to zero(0).
 *The roots of a quadratic equation can be calculated as -

@@ Line 1: / Line 1: @@
 <div style="font-size:30px">'''QUADRATIC(a,b,c)'''</div><br/>
 *<math>a</math>,<math>b</math> and <math>c</math> are any real numbers.
 ==Description==
 *This function gives the root values of a quadratic equation.

Manuals/calci/QUADRATIC - Revision history

Devika: /* Description */

Devika at 20:31, 28 June 2018

Swapna: Created page with "'''QUADRATIC(a,b,c)''' *a,b and c are any real numbers. ==Description== *This function gives t..."

Swapna: Created page with "
'''QUADRATIC(a,b,c)'''

* $a$ , $b$ and $c$ are any real numbers. ==Description== *This function gives t..."