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:

a2+(a1)2=52 2a22a24=0  p=2;q=2;r=24 D=q24pr=2242(24)=196 D>0  a1,2=q±D2p=2±1964 a1,2=2±144 a1,2=0.5±3.5 a1=4 a2=3   Factored form of the equation:  2(a4)(a+3)=0 

Solution in text:

2a2-2a-24=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 196
D>0 ... The equation has two distinct real roots

a1 = 4
a2 = -3

P = {4; -3}