Question

Ysaac, médico de turno en una clínica local, deja encargado a la enfermera Elisa la dosis de Panadol (mg) para todos los pacientes del hospital. La enfermera le pregunta ¿cuál es la Dosis?, y el médico le responde que la dosis anterior empleada en total para 10 pacientes adultos se encontraba resolviendo la ecuación x2+ 50x – 2400 = 0. Si la dosis actual ha disminuido en 10 miligramos para cada paciente. ¿Cuánto debe ser la dosis para cada paciente adulto actualmente?

Answer 1

Each adult patient today taking dose of 13 mg.

Explanation:

Given - Ysaac, a doctor on duty at a local clinic, leaves the Panadol dose (mg) to nurse Elisa for all hospital patients. The nurse asks him what is the Dose ?, and the doctor answers that the previous dose used in total for 10 adult patients was solving the equation x2 + 50x - 2400 = 0. If the current dose has decreased by 10 milligrams for each patient.

To find - How much should the dose be for each adult patient today?

Solution -

Given that, the equation is -

x² + 50x - 2400 = 0

⇒x² + 80x - 30x - 2400 = 0

⇒x(x + 80) - 30(x + 80) = 0

⇒(x - 30)(x + 80) = 0

⇒x = 30, -80

But dose can not be negative

So, x = 30

∴ we get

The previous dose is 30 that is given to 10 patients

So,

1 patient is taking 3 mg previous dose

Now,

Given that,

If the current dose has decreased by 10 milligrams for each patient.

So,

The current dose = 3 mg + 10 mg

= 13 mg

⇒The current dose = 13 mg

∴ we get

Each adult patient today taking dose of 13 mg.