Quadratic equation calculator

Quadratic equation has the basic form:
ax2+bx+c=0

eq2
Enter the coefficients a, b, c of quadratic equation in 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:

x(6x)=pow(2,2) x2+6x4=0 x26x+4=0  a=1;b=6;c=4 D=b24ac=62414=20 D>0  x1,2=b±D2a=6±202=6±252 x1,2=3±2.2360679775 x1=5.2360679775 x2=0.7639320225   Factored form of the equation:  (x5.2360679775)(x0.7639320225)=0 

Solution in text:

-x2+6x-4=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 20
D>0 ... The equation has two distinct real roots

x1 = 5.2360679775
x2 = 0.7639320225

P = {5.2360679775; 0.7639320225}