if a+b+c=1, a²+b²+c²=2 and a³+b³+c³=3 then prove that a⁴+b⁴+c⁴=4⅙​

if a+b+c=1, a²+b²+c²=2 and a³+b³+c³=3 then prove that a⁴+b⁴+c⁴=4⅙​

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