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:

3x23x(6x2x+7)=2 9x22x5=0  a=9;b=2;c=5 D=b24ac=2249(5)=184 D>0  x1,2=b±D2a=2±18418=2±24618 x1,2=0.11111111±0.753592220347 x1=0.864703331458 x2=0.642481109236   Factored form of the equation:  9(x0.864703331458)(x+0.642481109236)=0 

Solution in text:

9x2-2x-5=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 184
D>0 ... The equation has two distinct real roots

x1 = 0.864703331458
x2 = -0.642481109236

P = {0.864703331458; -0.642481109236}