Quadratic equation calculator

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

eq2
Enter the coefficients a, b, c of quadratic equation in 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:

2z2+3z+1=0 2z2+3z+1=0  a=2;b=3;c=1 D=b24ac=32421=1 D>0  z1,2=b±D2a=3±14 z1,2=3±14 z1,2=0.75±0.25 z1=0.5 z2=1   Factored form of the equation:  2(z+0.5)(z+1)=0 

Solution in text:

2z2+3z+1=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 1
D>0 ... The equation has two distinct real roots

z1 = -0.5
z2 = -1

P = {-0.5; -1}