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:

b2b12=0 b2b12=0  p=1;q=1;r=12 D=q24pr=1241(12)=49 D>0  b1,2=2pq±D=21±49 b1,2=21±7 b1,2=0.5±3.5 b1=4 b2=3   Factored form of the equation:  (b4)(b+3)=0 

Solution in text:

b2-b-12=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 49
D > 0 ... The equation has two distinct real roots

b1 = 4
b2 = -3

P = {4; -3}