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:

(x+8)(x+7)=72 x2+15x16=0  a=1;b=15;c=16 D=b24ac=15241(16)=289 D>0  x1,2=b±D2a=15±2892 x1,2=15±172 x1,2=7.5±8.5 x1=1 x2=16   Factored form of the equation:  (x1)(x+16)=0 

Solution in text:

x2+15x-16=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 289
D>0 ... The equation has two distinct real roots

x1 = 1
x2 = -16

P = {1; -16}