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:

h(h2)=84 h22h84=0  a=1;b=2;c=84 D=b24ac=2241(84)=340 D>0  h1,2=2ab±D=22±340=22±285 h1,2=1±9.219544 h1=10.219544457 h2=8.219544457   Factored form of the equation:  (h10.219544457)(h+8.219544457)=0 

Solution in text:

h2-2h-84=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 340
D > 0 ... The equation has two distinct real roots

h1 = 10.2195445
h2 = -8.2195445

P = {10.2195445; -8.2195445}