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:

125b=5b2+50b+550 5b2+75b250=0 5b275b+250=0  p=5;q=75;r=250 D=q24pr=75245250=625 D>0  b1,2=q±D2p=75±62510 b1,2=75±2510 b1,2=7.5±2.5 b1=10 b2=5   Factored form of the equation:  5(b10)(b5)=0 

Solution in text:

-5b2+75b-250=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 625
D>0 ... The equation has two distinct real roots

b1 = 10
b2 = 5

P = {10; 5}