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:

300=a(80/2a) a240a+300=0  p=1;q=40;r=300 D=q24pr=40241300=400 D>0  a1,2=2pq±D=240±400 a1,2=240±20 a1,2=20±10 a1=30 a2=10   Factored form of the equation:  (a30)(a10)=0 

Solution in text:

a2-40a+300=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 400
D > 0 ... The equation has two distinct real roots

a1 = 30
a2 = 10

P = {30; 10}