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Grade Select GradeAlgebra

How to sole this question ? I have attached the image in attachment

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Profile image of Aditya Dev
9 Years agoGrade Select Grade
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Profile image of Ajay
9 Years ago
The given equation can also be written as …..........................................................................
a{ \left( \frac { x }{ x-1 } \right) }^{ 2 }+{ b\left( \frac { x }{ x-1 } \right) }^{ }+c=0\\ Since\quad \alpha \quad and\quad \beta \quad are\quad roots\quad of\quad equation\\ a{ x }^{ 2 }+bx^{ }+c=0\\ \alpha \quad =\quad \frac { x }{ x-1 } \quad and\quad \alpha =\quad \frac { x }{ x-1 } \\ x=\quad \frac { \alpha }{ \alpha +1 } \quad and\quad x=\frac { \beta }{ \beta +1 } \quad are\quad the\\ required\quad roots.