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:

3t24t4=0 3t24t4=0  a=3;b=4;c=4 D=b24ac=4243(4)=64 D>0  t1,2=2ab±D=64±64 t1,2=64±8 t1,2=0.66666667±1.3333333333333 t1=2 t2=0.66666666666667   Factored form of the equation:  3(t2)(t+0.66666666666667)=0 

Solution in text:

3t2-4t-4=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 64
D > 0 ... The equation has two distinct real roots

t1 = 2
t2 = -0.66666666666667

P = {2; -0.66666666666667}