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:

48=46a+2a2 2a224a+48=0 2a2+24a48=0  p=2;q=24;r=48 D=q24pr=24242(48)=960 D>0  a1,2=q±D2p=24±9604=24±8154 a1,2=6±7.7459666924148 a1=1.7459666924148 a2=13.745966692415   Factored form of the equation:  2(a1.7459666924148)(a+13.745966692415)=0 

Solution in text:

-2a2-24a+48=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 960
D>0 ... The equation has two distinct real roots

a1 = 1.7459666924148
a2 = -13.745966692415

P = {1.7459666924148; -13.745966692415}