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Consider the equation (x^2 + x + 1)^2-(m...

Consider the equation `(x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=(1),` where `m` is a real parameter. By putting `x^2+x+1=t(2)` then `t >= 3/4` for real `x` the equation can be transferred to `f(t) = t^2- (m-3)t + m=0` At what values of m for which the equation (1) will have real roots

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Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=0--(1), where m is a real parameter. By putting x^2+x+1=t--(2) then t >= 3/4 for real x the equation can be transferred to f(t) = t^2- (m-3)t + m=0 . At what values of m for which the equation (1) will have real roots?

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