Question

The Number of roots of equation
(1/x) + 1/√(1-x^2) =35/12

Answer 1

Let ,

x = 1 / u , √ 1 - x² = 1 / v

u + v = 35 / 12

u² + v² = u²v²

uv = 25/12 , 49/12

therefore if uv = 25/12 , we get

x = 3/5 , 4/5

if uv = 49/12 , we get

x = -(5 + √73)/14

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