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:

8(x6)+8x=(x6)x x2+22x48=0 x222x+48=0  a=1;b=22;c=48 D=b24ac=2224148=292 D>0  x1,2=2ab±D=222±292=222±273 x1,2=11±8.544004 x1=19.544003745 x2=2.455996255   Factored form of the equation:  (x19.544003745)(x2.455996255)=0 

Solution in text:

-x2+22x-48=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 292
D > 0 ... The equation has two distinct real roots

x1 = 19.5440037
x2 = 2.4559963

P = {19.5440037; 2.4559963}