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:

12c2352c+1680=0 12c2352c+1680=0  p=12;q=352;r=1680 D=q24pr=35224121680=43264 D>0  c1,2=q±D2p=352±4326424 c1,2=352±20824 c1,2=14.66666667±8.6666666666667 c1=23.333333333333 c2=6   Factored form of the equation:  12(c23.333333333333)(c6)=0 

Solution in text:

12c2-352c+1680=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 43264
D>0 ... The equation has two distinct real roots

c1 = 23.333333333333
c2 = 6

P = {23.333333333333; 6}