Let p and q be two positive numbers such that p + q = 2 and p4+q4 = 272. Then p and q are roots of the equation :

Question

Let p and q be two positive numbers such that p + q = 2 and p⁴+q⁴ = 272. Then p and q are roots of the equation :

x² – 2x + 8 = 0

x² - 2x + 136=0

x² – 2x + 16 = 0

x² – 2x + 2 = 0

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