Question

(4)/(x)=(9)/(5)-(7x-4)/(5x) Type your answer and submit

Answer 1

x = 8

Explanation:

4/x = 9/5 - (7x - 4) / 5x

4/x = 9x - 7x + 4 / 5x

4/x = 2x + 4 / 5x

4(5x) = x(2x + 4)

20x = 2x² + 4x

20x - 4x - 2x² = 0

- 2x² + 16x = 0

-2x (x - 8) = 0

dividing both sides by -2x

x - 8 = 0

x = 8