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:

10P+P+PP+P=160 P2+12P160=0  a=1;b=12;c=160 D=b24ac=12241(160)=784 D>0  P1,2=2ab±D=212±784 P1,2=212±28 P1,2=6±14 P1=8 P2=20   Factored form of the equation:  (P8)(P+20)=0 

Solution in text:

P2+12P-160=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 784
D > 0 ... The equation has two distinct real roots

P1 = 8
P2 = -20

P = {8; -20}