Quadratic equation calculator

Quadratic equation has the basic form:
ax2+bx+c=0ax^2+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:

4c=4(c0.4)+5c(c0.4) 5c2+2c+1.6=0 5c22c1.6=0  p=5;q=2;r=1.6 D=q24pr=2245(1.6)=36 D>0  c1,2=q±D2p=2±3610 c1,2=2±610 c1,2=0.2±0.6 c1=0.8 c2=0.4   Factored form of the equation:  5(c0.8)(c+0.4)=0 

Solution in text:

-5c2+2c+1.6=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 36
D>0 ... The equation has two distinct real roots

c1 = 0.8
c2 = -0.4

P = {0.8; -0.4}