Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+c=0
eq2
Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.


Calculation:

a(a+6)/2=216 0.5a2+3a216=0  p=0.5;q=3;r=216 D=q24pr=3240.5(216)=441 D>0  a1,2=2pq±D=13±441=3±211 a1,2=3±21 a1=18 a2=24   Factored form of the equation:  0.5(a18)(a+24)=0 

Solution in text:

0.5a2+3a-216=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 441
D > 0 ... The equation has two distinct real roots

a1 = 18
a2 = -24

P = {18; -24}