Find m4+ 1/m4 , if m− 1/m =3.

asked Apr 20, 2021 49.1k views

3 votes

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7 votes

Answer:

119

Explanation:

m - 1/m = 3

(
$(m-(1)/(m))^(2) = 9\\m^2 - 2 + (1)/(m^2) = 9\\ m^2 + (1)/(m^2)) = 11\\ \\$

$(m - (1)/(m)) ^4\\ = m^4 -4m^2 - (4)/(m^2) + 6 = 81\\ m^4 + (1)/(m^4) = 75 +4(m^2 + (1)/(m^2))\\ m^4 + (1)/(m^4) = 75 +4 * 11 = 119$

Melika answered Apr 26, 2021

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