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.


2r2=(1r)2 r2+2r1=0  a=1;b=2;c=1 D=b24ac=2241(1)=8 D>0  r1,2=2ab±D=22±8=22±22 r1,2=1±1.414214 r1=0.414213562 r2=2.414213562   Factored form of the equation:  (r0.414213562)(r+2.414213562)=0 

Solution in text:

r2+2r-1=0 ... quadratic equation

D = b2 - 4ac = 8
D > 0 ... The equation has two distinct real roots

r1 = 0.4142136
r2 = -2.4142136

P = {0.4142136; -2.4142136}