Question

2. As a new element is heated, it’s temperature can be modeled with the function

T(x)= √100𝑥2−80𝑥+3500 where x represents the times, in minutes, from

when the element is placed on top of a Bunsen burner, and T(x) is the temperature

in degrees Celsius. When will the temperature be 100 degrees C.

Answer 1

@Michele_Laino please help

Answer 2

we have to find the time \(x_0\) such that the subsequent condition holds:
\[\huge T\left( {{x_0}} \right) = 100\]

Answer 3

so, we have to solve this equation:
\[\huge \sqrt {100} {x^2} - 80x + 3500 = 100\]

Answer 4

oops...
\[\huge \sqrt {100} x_0^2 - 80{x_0} + 3500 = 100\]
being:
\[\huge T\left( {{x_0}} \right) = \sqrt {100} x_0^2 - 80{x_0} + 3500\]

Answer 5

please solve such quadratic equation