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bazaltina [42]
2 years ago
14

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

Mathematics
2 answers:
DanielleElmas [232]2 years ago
4 0

\text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3

guapka [62]2 years ago
4 0

Answer:

A on edge/e2020

Step-by-step explanation:

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