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=2ab±D=23±45=23±35 x1,2=1.5±3.3541019662497 x1=1.8541019662497 x2=4.8541019662497   Factored form of the equation:  (x1.8541019662497)(x+4.8541019662497)=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 = 1.8541019662497
x2 = -4.8541019662497

P = {1.8541019662497; -4.8541019662497}