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:

(k+1)2=(k3)(4k2) 3k2+16k5=0 3k216k+5=0  a=3;b=16;c=5 D=b24ac=162435=196 D>0  k1,2=2ab±D=616±196 k1,2=616±14 k1,2=2.666667±2.333333 k1=5 k2=0.333333333   Factored form of the equation:  3(k5)(k0.333333333)=0 

Solution in text:

-3k2+16k-5=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 196
D > 0 ... The equation has two distinct real roots

k1 = 5
k2 = 0.3333333

P = {5; 0.3333333}