Question

the sum of a non zero number and twice its reciprocal is 33/4 find the number​

Answer 1

Step-by-step explanation:

Let the number be 'x'.

According to question,

x + 2/x = 33/4

=> x² + 2 = 33x/4

=> 4x² - 33x + 8 = 0

=> 4x² - 32x - x + 8 = 0

=> 4x (x - 8) -1 (x - 8) = 0

=> (4x - 1)(x - 8) = 0.

=> x = 8, 1/4