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:

10P+P+PP+P=160 P2+12P160=0  a=1;b=12;c=160 D=b24ac=12241(160)=784 D>0  P1,2=b±D2a=12±7842 P1,2=12±282 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}