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:

4((18a)+a)=a(18a) a218a+72=0  p=1;q=18;r=72 D=q24pr=1824172=36 D>0  a1,2=2pq±D=218±36 a1,2=218±6 a1,2=9±3 a1=12 a2=6   Factored form of the equation:  (a12)(a6)=0 

Solution in text:

a2-18a+72=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 36
D > 0 ... The equation has two distinct real roots

a1 = 12
a2 = 6

P = {12; 6}