Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+c=0
eq2
Enter the quadratic equation's coefficients a, b, and c of 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:

20(y219)/2=y2+54y+629 9y254y819=0 9=32 54=233 819=32713 GCD(9,54,819)=32=9  y26y91=0  a=1;b=6;c=91 D=b24ac=6241(91)=400 D>0  y1,2=2ab±D=26±400 y1,2=26±20 y1,2=3±10 y1=13 y2=7   Factored form of the equation:  (y13)(y+7)=0 

Solution in text:

9y2-54y-819=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 32400
D > 0 ... The equation has two distinct real roots

y1 = 13
y2 = -7

P = {13; -7}