Let’s start exploring the **MathStudio Script Language** with this first tutorial. In this article we are going to code a **simple second grade equation solver**.

Some days ago we released the beta of our Mathematical IDE, MathStudio, which allows you to develop your **technical applications** in a simple way.

Actually, MathStudio has a simple command that implements the **Brent’s equation solver**, but we **won’t use that in this tutorial**. We will let the user input the **coefficients** of the second grade equation **one by one**. To do that in MathStudio, we use the **input** command:

`output Insert 'a' coefficient:`

[a]= input

output Insert 'b' coefficient:

[b]= input

output Insert 'c' coefficient:

= input

We now have all the coefficients declared. According to Maths theory, we have to calculate the **delta** (discriminant). Delta is defined as **∆=b^2-4*a*c**, so:

[delta]= calc ({b})^2-4*({a})*({c})

Now, according to the algorithm to solve this kind of equations, we have two results: **x =** **(-b±√∆)/2*a**, so:

//First result

[x1]= calc (-({b}) + sqrt({delta}))/2*({a})

//Second result

[x2]= calc (-({b}) - sqrt({delta}))/2*({a})

All we have to do now is to printing the results on the screen:

`output First result:`

{x1}

output Second result:{x2}pause

In order to prevent the script from returning **NaN** (Not a Number) for both the results if **delta is minor than zero**, we can put a **goto mark** before the pause command:

if{delta}< 0thenoutput [Delta < 0] Cannot calculate solutions.

goto end

endif

[…]:end

pause

You can also plot the **function graph** associated to the equation if you want:

`fdef f(x) = (`

{a})*x^2+({b})*x+({c})

plot "f"

This sample is included in the GoManga MathStudio installer and you can find it under *C:\GoManga\MathStudio\Samples\equations.ms *but you can also download from **here**.

Have fun!