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If alpha be a root of the equation, 4 x^...

If `alpha` be a root of the equation, `4 x^2 + 2x - 1 =0`, then ` 4 alpha^3 - 3 alpha `is other root.

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`4x^2+2x-1=0`
`x=(-2pmsqrt(4+16))/8=(-2pm2sqrt5)/8`
`=(-1pmsqrt5/4)`
`alpha=(-1pmsqrt5)/4`
`4alpha^3-3alpha`
`alpha(4alpha^2-3)`
`alpha(-2-2alpha)`
`(-2-2(-1+sqrt5)/4)(-1+sqrt5)/4`
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