if m²+m-²= 98, m>0, then find m³+m-³
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Answer:
970.3
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970.3
Explanation:
m² + 1/m² = 98
(m4 + 1)/ m² = 98
m4 + 1 = 98m²
m4 - 98m² + 1 = 0
On solving the above equation,
we get m = 9.8989 which is approximately equal to 9.9
m³ + 1/m³ = (9.9)^3 + 1/(9.9)^3
= 970.29 + 1/970.29
= 970.3 which is approximately equals to 970
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