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:

5n(n1)=(n+3)(n+2) 4n210n6=0  a=4;b=10;c=6 D=b24ac=10244(6)=196 D>0  n1,2=b±D2a=10±1968 n1,2=10±148 n1,2=1.25±1.75 n1=3 n2=0.5   Factored form of the equation:  4(n3)(n+0.5)=0 

Solution in text:

4n2-10n-6=0 ... quadratic equation

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

n1 = 3
n2 = -0.5

P = {3; -0.5}