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:

24=a(10a) a210a+24=0  p=1;q=10;r=24 D=q24pr=1024124=4 D>0  a1,2=q±D2p=10±42 a1,2=10±22 a1,2=5±1 a1=6 a2=4   Factored form of the equation:  (a6)(a4)=0 

Solution in text:

a2-10a+24=0 ... quadratic equation

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

a1 = 6
a2 = 4

P = {6; 4}