Quadratic formula y=-0.005x^2+0.41x-5.1

A quadratic equation has the general formula expressed as:

ax^2 + bx - c = 0

This equation can be solved by the quadratic formula which is expressed as:

x = (-b ( + or - ) √ (b^2 - 4ac) / 2a

From the given equation, y=-0.005x^2+0.41x-5.1

a = - 0.005

b = 0.41

c = - 5.1

Using the quadratic formula and the corresponding values of the coefficient, we substitute these and obtain:

x = (-b ( + or - ) √ (b^2 - 4ac) / 2a

x = (-0.41 ( + or - ) √ (0.41^2 - 4 (-0.005) (5.1)) / 2 (-0.005)

x1 = 66.71

x2 = 15.29

Therefore, the quadratic equation would be factored by using the values of x we obtained as follows:

y = - 0.005x^2 + 0.41x - 5.1

y = (x - 66.71) (x - 15.29)