Question

Refer to the attachment

Answer 1

Answer:

16

Step-by-step explanation:

Let the number of patients be x.

7/2√x + 2 = x

=> x - 2 = (7/2)√x

Squaring on both sides,

x² - 4x + 4 = (49/4)x

=> 4x² - 16x + 16 = 49x

=> 4x² - 65x + 16 = 0

Solve the quadratic equation now:

4x² - 65x + 16 = 0

=> 4x² - 64x - x + 16 = 0

=> 4x(x - 16) - 1(x - 16) = 0

=> (4x - 1) (x - 16) = 0

=> 4x - 1 = 0 or x -16 = 0

=> x = 1/4 or x = 16.

Since number of patients cannot be 1/4,

thus the number of patients = 16.