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

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Answer 1 · 2017-01-21T04:11:04

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

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]}

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