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:

242=(242d)2+(24d)2 5d2+144d576=0 5d2144d+576=0  a=5;b=144;c=576 D=b24ac=144245576=9216 D>0  d1,2=b±D2a=144±921610 d1,2=144±9610 d1,2=14.4±9.6 d1=24 d2=4.8   Factored form of the equation:  5(d24)(d4.8)=0 

Solution in text:

-5d2+144d-576=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 9216
D>0 ... The equation has two distinct real roots

d1 = 24
d2 = 4.8

P = {24; 4.8}