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The equation 2 "cos"^(2)((x)/(2))"sin"^(...

The equation `2 "cos"^(2)((x)/(2))"sin"^(2) x = x^(2) + (1)/(x^(2)), 0 le x le (pi)/(2)` has

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We have,
We have,
`x=0` and `x le pi/9`
`rArr 2sin^(2)x cos^(2) x/2 lt 2`
and `x^(2) + 1/x^(2) ge 2`
Hence no solution exists.
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