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:

q112/2/42=1+q2+q q2+2.5q1=0 q22.5q+1=0  a=1;b=2.5;c=1 D=b24ac=2.52411=2.25 D>0  q1,2=2ab±D=22.5±2.25 q1,2=1.25±0.75 q1=2 q2=0.5   Factored form of the equation:  (q2)(q0.5)=0 

Solution in text:

-q2+2.5q-1=0 ... quadratic equation

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

q1 = 2
q2 = 0.5

P = {2; 0.5}