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Complete set of real values of 'a' for w...

Complete set of real values of `'a'` for which the equation `x^4-2ax^2+x+a^2-a=0` has all its roots real:

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`x^4-2ax^2+x+a^2-a = 0`
`a^2-a(1+2x^2)+x^4+x = 0`
This is a quadratic equation in `a`.
`:. a = (-(-(1+2x^2))+-sqrt(1+4x^4+4x^2-4(x^4+x)))/(2(1))`
`=>a = (1+2x^2+- sqrt(4x^2-4x+1))/2`
`=>a = (1+2x^2+- (2x-1))/2`
`=> a = x^2+x and a = x^2-x+1`
`:. x^2+x- a =0 and x^2-x+1-a = 0`
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