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:

240=(4+6)t+0.5(3+2)t2 2.5t210t+240=0 2.5t2+10t240=0  a=2.5;b=10;c=240 D=b24ac=10242.5(240)=2500 D>0  t1,2=b±D2a=10±25005 t1,2=10±505 t1,2=2±10 t1=8 t2=12   Factored form of the equation:  2.5(t8)(t+12)=0 

Solution in text:

-2.5t2-10t+240=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 2500
D>0 ... The equation has two distinct real roots

t1 = 8
t2 = -12

P = {8; -12}