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:

140a25740a+58800=0 140a25740a+58800=0  p=140;q=5740;r=58800 D=q24pr=57402414058800=19600 D>0  a1,2=q±D2p=5740±19600280 a1,2=5740±140280 a1,2=20.5±0.5 a1=21 a2=20   Factored form of the equation:  140(a21)(a20)=0 

Solution in text:

140a2-5740a+58800=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 19600
D>0 ... The equation has two distinct real roots

a1 = 21
a2 = 20

P = {21; 20}