redfoxthrtysix redfoxthrtysix

04-08-2018
Mathematics

contestada

Solve for x. 5/2x+3=4/x

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06-08-2018

[tex]\text{The domain:}\\2x+3\neq0\ \vee\ x\neq0\\\\D:x\in\mathbb{R}-\{-1.5,\ 0\}[/tex]

[tex]\dfrac{5}{2x+3}=\dfrac{4}{x}\ \ \ |\text{cross multiply}\\\\5x=4(2x+3)\\\\5x=8x+12\ \ \ |-8x\\\\-3x=12\ \ \ \ |:(-3)\\\\x=-4\in D[/tex]

Answer: x = -4

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