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Nice problem
Thanks mwalimu
You're welcome mwanafunzi🤩👌💕👌
from 0:59 f(m) = m^4 + (m - 1)^3 + (m - 2)^2 = 2 => m^4 + m^3 - 2m^2 - m + 1 = 0since f(1) = 0 & f(-1) = 0 and using SDM, f(m) = (m - 1)(m + 1)(m^2 + m - 1) = 0=> m = { 1, -1, (-1 ± √5)/2 } => x = 1 + m/3 = { 4/3, 2/3, (5 ± √5)/6 }
Was going to post same substitution idea to simplify
X=4/3
Nice problem
Thanks mwalimu
You're welcome mwanafunzi🤩👌💕👌
from 0:59 f(m) = m^4 + (m - 1)^3 + (m - 2)^2 = 2 => m^4 + m^3 - 2m^2 - m + 1 = 0
since f(1) = 0 & f(-1) = 0 and using SDM, f(m) = (m - 1)(m + 1)(m^2 + m - 1) = 0
=> m = { 1, -1, (-1 ± √5)/2 } => x = 1 + m/3 = { 4/3, 2/3, (5 ± √5)/6 }
Was going to post same substitution idea to simplify
X=4/3