Question

What is x if `2/x-3x=-4`?

Answer 1

`(2+-sqrt10)/3`

Explanation:

`2/x-3x=-4`
`or 2-3x^2 = -4x`
`or 3x^2 - 4x - 2 = 0`

which is in the standard quadratic form:
`ax^2 + bx + c = 0`

where b = -4, a = 3, c = -2
Hence, the roots of the equation are given by:
`x = (-b +- sqrt(b^2 - 4ac))/(2a)`
`or x = ((4 +- sqrt(16+24))/6)`
`or x = (4 +- sqrt 40 )/6`
`or x=(2 +- sqrt10)/3`