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:

4x2+5x=0 4x2+5x=0 4x25x=0  a=4;b=5;c=0 D=b24ac=52440=25 D>0  x1,2=b±D2a=5±258 x1,2=5±58 x1,2=0.625±0.625 x1=1.25 x2=0   Factored form of the equation:  4(x1.25)x=0 

Solution in text:

-4x2+5x=0 ... c=0; quadratic equation without constant term

Discriminant:
D = b2 - 4ac = 25
D>0 ... The equation has two distinct real roots

x1 = 1.25
x2 = 0

P = {1.25; 0}