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:

1/2n(n3)=n+42 0.5n22.5n42=0  a=0.5;b=2.5;c=42 D=b24ac=2.5240.5(42)=90.25 D>0  n1,2=b±D2a=2.5±90.251 n1,2=2.5±9.5 n1=12 n2=7   Factored form of the equation:  0.5(n12)(n+7)=0 

Solution in text:

0.5n2-2.5n-42=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 90.25
D>0 ... The equation has two distinct real roots

n1 = 12
n2 = -7

P = {12; -7}