Question

Find the number What is the number exceeds four times it's reciprocal by 3?

Answer 1

Answer:

Step-by-step explanation:

Let the number be n

then according to question

n - 4/n = 3

n^2 - 4 = 3n (on multiplying by n both sides)

n^2 - 3n - 4 = 0

n^2 -4n + n - 4 = 0 (break 3n into 4n-n )

n(n-4) + 1(n-4) = 0

(n - 4)(n + 1) = 0

it implies that either

(n-4) = 0      or     (n+1) = 0

it means

n = 4 or -1    answer

hope you got the steps

ATB