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+(a+7)2=(a+8)2 a22a15=0  p=1;q=2;r=15 D=q24pr=2241(15)=64 D>0  a1,2=q±D2p=2±642 a1,2=2±82 a1,2=1±4 a1=5 a2=3   Factored form of the equation:  (a5)(a+3)=0 

Solution in text:

a2-2a-15=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 64
D>0 ... The equation has two distinct real roots

a1 = 5
a2 = -3

P = {5; -3}