What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18

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asked Aug 7, 2018 24.8k views

5 votes

What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18

Mathematics
middle-school

Simmo asked

by Simmo

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6 votes

Answer:

A on edge/e2020

Explanation:

Jenssen answered Aug 9, 2018

by Jenssen

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$\text{The domain}\\2x-6\\eq0\ \wedge\ 6x-18\\eq0\to x\\eq3\\\\(x^2)/(2x-6)=(9)/(6x-18)\\\\(x^2)/(2(x-3))=(9)/(6(x-3))\ \ \ |\cdot6\\\\(3x^2)/(x-3)=(9)/(x-3)\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3$

Bulan answered Aug 12, 2018

by Bulan

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