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

1 Answer
Jan 21, 2017

Answer:

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]}