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:

602=1022+c2176.669182372c c2+176.669c6804=0 c2176.669c+6804=0  p=1;q=176.669;r=6804 D=q24pr=176.6692416804=3995.9999999908 D>0  c1,2=q±D2p=176.67±39962 c1,2=88.33459119±31.606961258522 c1=119.94155244452 c2=56.727629927478   Factored form of the equation:  (c119.94155244452)(c56.727629927478)=0 

Solution in text:

-c2+176.669182372c-6804=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 3995.9999999908
D>0 ... The equation has two distinct real roots

c1 = 119.94155244452
c2 = 56.727629927478

P = {119.94155244452; 56.727629927478}