Answer:
Each adult patient today taking dose of 13 mg.
Step-by-step 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.
