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:

34x2+(3x+4x+5x)(4x2)=468 60x224x468=0 60=2235 24=233 468=223213 GCD(60,24,468)=223=12  5x22x39=0  a=5;b=2;c=39 D=b24ac=2245(39)=784 D>0  x1,2=2ab±D=102±784 x1,2=102±28 x1,2=0.2±2.8 x1=3 x2=2.6   Factored form of the equation:  5(x3)(x+2.6)=0 

Solution in text:

60x2-24x-468=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 112896
D > 0 ... The equation has two distinct real roots

x1 = 3
x2 = -2.6

P = {3; -2.6}