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:

2x2=72 2x272=0  a=2;b=0;c=72 D=b24ac=0242(72)=576 D>0  x1,2=b±D2a=±5764 x1,2=±244 x1,2=±6 x1=6 x2=6   Factored form of the equation:  2(x6)(x+6)=0 

Solution in text:

2x2-72=0 ... b=0; pure quadratic equation

Discriminant:
D = b2 - 4ac = 576
D>0 ... The equation has two distinct real roots

x1 = 6
x2 = -6

P = {6; -6}