Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+c=0
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.


a2+(a1)2=52 2a22a24=0 2 ...  prime number 24=233 GCD(2,2,24)=2=2  a2a12=0  p=1;q=1;r=12 D=q24pr=1241(12)=49 D>0  a1,2=2pq±D=21±49 a1,2=21±7 a1,2=0.5±3.5 a1=4 a2=3   Factored form of the equation:  (a4)(a+3)=0 

Solution in text:

2a2-2a-24=0 ... quadratic equation

D = b2 - 4ac = 196
D > 0 ... The equation has two distinct real roots

a1 = 4
a2 = -3

P = {4; -3}