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:

(2y)2+y22(2y)4y20=0 5y220=0 5 ...  prime number 0=0 20=225 GCD(5,0,20)=5=5  y24=0 y1,2=±4=±2 y1=2 y2=2 

Solution in text:

5y2-20=0 ... b=0; pure quadratic equation

Discriminant:
D = b2 - 4ac = 400
D > 0 ... The equation has two distinct real roots

y1 = 2
y2 = -2

P = {2; -2}