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:

x2+3x9=0 x2+3x9=0  a=1;b=3;c=9 D=b24ac=3241(9)=45 D>0  x1,2=b±D2a=3±452=3±352 x1,2=1.5±3.35410196625 x1=1.85410196625 x2=4.85410196625   Factored form of the equation:  (x1.85410196625)(x+4.85410196625)=0 

Solution in text:

x2+3x-9=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 45
D>0 ... The equation has two distinct real roots

x1 = 1.85410196625
x2 = -4.85410196625

P = {1.85410196625; -4.85410196625}