Find x/y ; when x2 + 6y2 = 5xy.
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Answer:
[tex] {x}^{2} + 6 {y}^{2} = 5xy[/tex]
[tex]divide \: the \: equation \: by \: xy[/tex]
[tex] \frac{x}{y} + 6( \frac{y}{x}) = 5[/tex]
[tex] \frac{x}{y} = 5 - 6( \frac{y}{x}) [/tex]
[tex] \frac{x}{y} \times \frac{x}{y} = 5 - 6[/tex]
[tex] \frac{ {x}^{2} }{ {y}^{2} } = - 1 [/tex]
put square root to both sides
[tex] \sqrt{ \frac{ {x}^{2} }{ {y}^{2} } } = \sqrt{ - 1} [/tex]
[tex] \frac{x}{y} = - 1 [/tex]
Answer:
answer is x/y =1. it is your answer please follow me