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Solving a 'Harvard' University entrance exam | Find b?

900 views · Sep 23, 2026 · Education

The Map of Mathematics

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Comments · 3

@libbychang413 · 2 days ago
b*√b = 8<br>b³ = 64<br>b = 4*exp(j*(2*π/3 + 2*π*k)) || k ∈ Z = {4, -2± 2* j*√3}<br>√b = ±2*exp(j*(π/3 + 2*π*k)) =  {±2,  ±( -1 ±  j*√3)}<br>4*2 = 8 ✔<br>(-2 + 2* j*√3)*(-1+ j*√3) = 8 ✔<br>(-2 - 2* j*√3)*(-1- j*√3) = -4+4*j*√3 != 8 ✖<br>(-2 + 2* j*√3)*(-1- j*√3) = 8 ✔
@YunusemreAnadol · 6 days ago
b=2

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