Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+c=0
eq2
Enter the quadratic equation's coefficients a, b, and c of 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:

8(10y)=(8+y/10(328))y 2.4y216y+80=0 2.4y2+16y80=0  a=2.4;b=16;c=80 D=b24ac=16242.4(80)=1024 D>0  y1,2=2ab±D=4.816±1024 y1,2=3.333333±6.666667 y1=3.333333333 y2=10   Factored form of the equation:  2.4(y3.333333333)(y+10)=0 

Solution in text:

-2.4y2-16y+80=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 1024
D > 0 ... The equation has two distinct real roots

y1 = 3.3333333
y2 = -10

P = {3.3333333; -10}