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`alpha,beta` are the roots of the equation `P(x^2 – x) + x + 5 = 0.` If `p_1,p_2` are the two value of P for which `alpha,beta` are connected by `alpha/beta+beta/alpha=4/5,` find the value of `p_1/p_2^2+p_2/p_1^2.`

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