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:

0.048112522432469(2+2h)2=3h 0.19245008972988h22.615h+0.192=0  a=0.19245;b=2.615;c=0.192 D=b24ac=2.615240.192450.192=6.6905989232 D>0  h1,2=2ab±D=0.38492.62±6.69 h1,2=6.794229±6.720234 h1=13.514462464 h2=0.073994804   Factored form of the equation:  0.19245008972988(h13.514462464)(h0.073994804)=0 

Solution in text:

0.19245008972988h2-2.6150998205402h+0.19245008972988=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 6.6905989232
D > 0 ... The equation has two distinct real roots

h1 = 13.5144625
h2 = 0.0739948

P = {13.5144625; 0.0739948}