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:

3m2+22=49 3m227=0  a=3;b=0;c=27 D=b24ac=0243(27)=324 D>0  m1,2=b±D2a=±3246 m1,2=±186 m1,2=±3 m1=3 m2=3   Factored form of the equation:  3(m3)(m+3)=0 

Solution in text:

3m2-27=0 ... b=0; pure quadratic equation

Discriminant:
D = b2 - 4ac = 324
D>0 ... The equation has two distinct real roots

m1 = 3
m2 = -3

P = {3; -3}