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:

(a+2)(a+2)(a+2)aaa=728 6a2+12a720=0  p=6;q=12;r=720 D=q24pr=12246(720)=17424 D>0  a1,2=q±D2p=12±1742412 a1,2=12±13212 a1,2=1±11 a1=10 a2=12   Factored form of the equation:  6(a10)(a+12)=0 

Solution in text:

6a2+12a-720=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 17424
D>0 ... The equation has two distinct real roots

a1 = 10
a2 = -12

P = {10; -12}