Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+c=0
eq2
Enter the quadratic equation's coefficients a, b, and c of 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=2ab±D=182±184=182±246 x1,2=0.111111±0.753592 x1=0.864703331 x2=0.642481109   Factored form of the equation:  9(x0.864703331)(x+0.642481109)=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 = 0.8647033
x2 = -0.6424811

P = {0.8647033; -0.6424811}