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:

3x=2x28x+9 2x2+7x6=0 2x27x+6=0  a=2;b=7;c=6 D=b24ac=72426=1 D>0  x1,2=b±D2a=7±14 x1,2=7±14 x1,2=1.75±0.25 x1=2 x2=1.5   Factored form of the equation:  2(x2)(x1.5)=0 

Solution in text:

-2x2+7x-6=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 1
D>0 ... The equation has two distinct real roots

x1 = 2
x2 = 1.5

P = {2; 1.5}