Question

The number exceed four times it's reciprocal by3 .find the number.

Answer 1

LET THE UNKNOWN NUMBER BE X

`x - 4( (1)/(x) ) = 3 \\ \\ x - (4)/(x) = 3 \\ x(x) - (4)/(x) (x) = 3(x) \\ {x}^(2) - 4 = 3x \\ {x}^(2) - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x - 4 = 0 \\ or\\ x + 1 = 0 \\ x = 4 \\ \\ or \\ x = - 1`

NOTE THERE ARE TWO SOLUTIONS FOR THIS PROBLEM

THE ANSWER IS 4 AND -1.