Solving Quadratic Equation with One Unknown

The quadratic equation can be expressed as

a x² + b x + c = 0                      (1)

which can be solved for the two alternatives of x as

x_1,2 = (-b ± (b² - 4 a c)^1/2) / (2 a)             (2)

Example - Solving Quadratic Equation

If

a = 1

b = 6

c = 5

then the two alternatives for x can be calculated as

x₁ = (-6 + (6² - 4 1 5)^1/2) / (2 1)

    = -1

x₂ = (-6 - (6² - 4 1 5)^1/2) / (2 1) 

   = -5

• Insert a quadratic equation curve in Sketchup