El profesor se sorprenderá mucho al ver tu solución correcta😉
3 ___ 4*x \/ x - --- = 0 2 x
x = 2^4/5
4/5 x1 = 2
2 ___________ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | x2 = |- ---- + ----------| - 2 *|- + -----| - 2*I*2 * / - + ----- *|- ---- + ----------| \ 4 4 / \8 8 / \/ 8 8 \ 4 4 /
2 ___________ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | x3 = |- ---- + ----------| - 2 *|- + -----| + 2*I*2 * / - + ----- *|- ---- + ----------| \ 4 4 / \8 8 / \/ 8 8 \ 4 4 /
2 ___________ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | x4 = |- ---- - ----------| - 2 *|- - -----| - 2*I*2 * / - - ----- *|- ---- - ----------| \ 4 4 / \8 8 / \/ 8 8 \ 4 4 /
2 ___________ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | x5 = |- ---- - ----------| - 2 *|- - -----| + 2*I*2 * / - - ----- *|- ---- - ----------| \ 4 4 / \8 8 / \/ 8 8 \ 4 4 /
x5 = -2^(4/5)*(5/8 - sqrt(5)/8) + (-2^(2/5)*sqrt(5)/4 - 2^(2/5)/4)^2 + 2*2^(2/5)*i*sqrt(5/8 - sqrt(5)/8)*(-2^(2/5)*sqrt(5)/4 - 2^(2/5)/4)
suma
2 ___________ 2 ___________ 2 ___________ 2 ___________ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ / 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\ 4/5 | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 | 2 + |- ---- + ----------| - 2 *|- + -----| - 2*I*2 * / - + ----- *|- ---- + ----------| + |- ---- + ----------| - 2 *|- + -----| + 2*I*2 * / - + ----- *|- ---- + ----------| + |- ---- - ----------| - 2 *|- - -----| - 2*I*2 * / - - ----- *|- ---- - ----------| + |- ---- - ----------| - 2 *|- - -----| + 2*I*2 * / - - ----- *|- ---- - ----------| \ 4 4 / \8 8 / \/ 8 8 \ 4 4 / \ 4 4 / \8 8 / \/ 8 8 \ 4 4 / \ 4 4 / \8 8 / \/ 8 8 \ 4 4 / \ 4 4 / \8 8 / \/ 8 8 \ 4 4 /
=
2 2 / 2/5 2/5 ___\ / 2/5 2/5 ___\ / ___\ / ___\ 4/5 | 2 2 *\/ 5 | | 2 2 *\/ 5 | 4/5 |5 \/ 5 | 4/5 |5 \/ 5 | 2 + 2*|- ---- - ----------| + 2*|- ---- + ----------| - 2*2 *|- - -----| - 2*2 *|- + -----| \ 4 4 / \ 4 4 / \8 8 / \8 8 /
producto
/ 2 ___________ \ / 2 ___________ \ / 2 ___________ \ / 2 ___________ \ |/ 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\| |/ 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\| |/ 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\| |/ 2/5 2/5 ___\ / ___\ / ___ / 2/5 2/5 ___\| 4/5 || 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 || || 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 || || 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 || || 2 2 *\/ 5 | 4/5 |5 \/ 5 | 2/5 / 5 \/ 5 | 2 2 *\/ 5 || 2 *||- ---- + ----------| - 2 *|- + -----| - 2*I*2 * / - + ----- *|- ---- + ----------||*||- ---- + ----------| - 2 *|- + -----| + 2*I*2 * / - + ----- *|- ---- + ----------||*||- ---- - ----------| - 2 *|- - -----| - 2*I*2 * / - - ----- *|- ---- - ----------||*||- ---- - ----------| - 2 *|- - -----| + 2*I*2 * / - - ----- *|- ---- - ----------|| \\ 4 4 / \8 8 / \/ 8 8 \ 4 4 // \\ 4 4 / \8 8 / \/ 8 8 \ 4 4 // \\ 4 4 / \8 8 / \/ 8 8 \ 4 4 // \\ 4 4 / \8 8 / \/ 8 8 \ 4 4 //
=
16
16
x1 = 1.74110112659225
x2 = -1.4085804003385 - 1.02339356496073*i
x3 = -1.4085804003385 + 1.02339356496073*i
x4 = 0.538029837042371 + 1.65588557197439*i
x5 = 0.538029837042371 - 1.65588557197439*i
x5 = 0.538029837042371 - 1.65588557197439*i