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:

132=(32)2+(5k)2 k210k+119=0 k2+10k119=0  a=1;b=10;c=119 D=b24ac=10241(119)=576 D>0  k1,2=2ab±D=210±576 k1,2=210±24 k1,2=5±12 k1=7 k2=17   Factored form of the equation:  (k7)(k+17)=0 

Solution in text:

-k2-10k+119=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 576
D > 0 ... The equation has two distinct real roots

k1 = 7
k2 = -17

P = {7; -17}