Question

6/x = 2x+4/5

Multiply each side by the common denominator to find the
quadratic equation equivalent to this equation.

Answer 1

5x² + 2x - 15 = 0

Explanation:

Given

`(6)/(x)` = 2x +
`(4)/(5)`

Multiply through by 5x ( common denominator )

30 = 10x² + 4x ( subtract 30 from both sides )

0 = 10x² + 4x - 30 ( divide through by 2 )

0 = 5x² + 2x - 15 , that is

5x² + 2x - 15 = 0