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:

122=32+92+u2 u2+54=0 u254=0  a=1;b=0;c=54 D=b24ac=0241(54)=216 D>0  u1,2=b±D2a=±2162=±662 u1,2=±36=±7.3484692283495 u1=36=7.3484692283495 u2=36=7.3484692283495   Factored form of the equation:  (u7.3484692283495)(u+7.3484692283495)=0 

Solution in text:

-u2+54=0 ... b=0; pure quadratic equation

Discriminant:
D = b2 - 4ac = 216
D>0 ... The equation has two distinct real roots

u1 = 7.3484692283495
u2 = -7.3484692283495

P = {7.3484692283495; -7.3484692283495}