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JEE MainMathematicsToughQuadratic Equations

If α,β\alpha,\beta are the roots of 9x2+6x+1=09x^{2} + 6x + 1 = 0, then
the equation with roots
1α,1β\frac{1}{\alpha},\frac{1}{\beta} is

Show answer and solution
Replace x by 1x\frac{1}{x}

Source: Grass-G / M-16 Mathematics Paper 25 Nov First.docx

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