Question

How do you solve `sqrt(3x) + sqrt(2x-1) = (5) / sqrt(2x-1)`?

Answer 1

1.5. See graphical cut of x-axis, for the solution.

Explanation:

For real x, `x >1/2`.

Cross multiplying and rearranging,

`2x-6=-+sqrt(3x(2x-1))`. Rationalize by squaring to get

`2x^2+21x-36=0`, giving the positive root 1.5..

graph{2x-6+sqrt(3x(2x-1)) [0, 2, -.5, .5]}