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:

120((a+205)+a)=a(a+205) a2+140a+12000=0 a2140a12000=0  p=1;q=140;r=12000 D=q24pr=140241(12000)=67600 D>0  a1,2=q±D2p=140±676002 a1,2=140±2602 a1,2=70±130 a1=200 a2=60   Factored form of the equation:  (a200)(a+60)=0 

Solution in text:

-a2+140a+12000=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 67600
D>0 ... The equation has two distinct real roots

a1 = 200
a2 = -60

P = {200; -60}