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:

a2+(a5)2=152 2a210a200=0 2 ...  prime number 10=25 200=2352 GCD(2,10,200)=2=2  a25a100=0  p=1;q=5;r=100 D=q24pr=5241(100)=425 D>0  a1,2=2pq±D=25±425=25±517 a1,2=2.5±10.307764 a1=12.807764064 a2=7.807764064   Factored form of the equation:  (a12.807764064)(a+7.807764064)=0 

Solution in text:

2a2-10a-200=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 1700
D > 0 ... The equation has two distinct real roots

a1 = 12.8077641
a2 = -7.8077641

P = {12.8077641; -7.8077641}