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:

3/2pi(43r)r=0 14.1371669412r2+18.85r=0 14.1371669412r218.85r=0  a=14.1371669412;b=18.85;c=0 D=b24ac=18.852414.13716694120=355.305758439 D>0  r1,2=b±D2a=18.85±355.3128.2743338823 r1,2=0.66666667±0.666666666667 r1=1.33333333333 r2=0   Factored form of the equation:  14.1371669412(r1.33333333333)r=0 

Solution in text:

-14.1371669412r2+18.8495559215r=0 ... c=0; quadratic equation without constant term

Discriminant:
D = b2 - 4ac = 355.305758439
D>0 ... The equation has two distinct real roots

r1 = 1.33333333333
r2 = 0

P = {1.33333333333; 0}