Quadratic Equation Calculator

A quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated using the discriminant.

Calculation:

900 (v - 25) = 900 * (v + 25) - 0.16666666666667 * (v - 25) * (v + 25) 0.16666666667152 v^{2} - 45104.167 = 0 v_{1, 2} = \pm 45104.166666667 / 0.16666666667152 = \pm 520.21630116 v_{1} = 520.21630116 v_{2} = - 520.21630116

Solution in text:

0.16666666667152v²-45104.166666667=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 30069.44444532
D > 0 ... The equation has two distinct real roots

v₁ = 520.2163012
v₂ = -520.2163012

P = {520.2163012; -520.2163012}