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:

x2+1=2.5x x22.5x+1=0  a=1;b=2.5;c=1 D=b24ac=2.52411=2.25 D>0  x1,2=b±D2a=2.5±2.252 x1,2=1.25±0.75 x1=2 x2=0.5   Factored form of the equation:  (x2)(x0.5)=0 

Solution in text:

x2-2.5x+1=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 2.25
D>0 ... The equation has two distinct real roots

x1 = 2
x2 = 0.5

P = {2; 0.5}