El profesor se sorprenderá mucho al ver tu solución correcta😉
___________ / ___________\ / ___ | / ___ | / 1 \/ 5 | ___ / 1 \/ 5 | 3 / - + ----- | ___ \/ 3 *3 / - + ----- | 1 \/ 2 2 | \/ 3 \/ 2 2 | x1 = ------------------ - ---------------- + I*|- ------------------ - ----------------------| ___________ 2 | ___________ 2 | / ___ | / ___ | / 1 \/ 5 | / 1 \/ 5 | 2*3 / - + ----- | 2*3 / - + ----- | \/ 2 2 \ \/ 2 2 /
___________ / ___________\ / ___ | / ___ | / 1 \/ 5 | ___ / 1 \/ 5 | 3 / - + ----- | ___ \/ 3 *3 / - + ----- | 1 \/ 2 2 | \/ 3 \/ 2 2 | x2 = ------------------ - ---------------- + I*|------------------ + ----------------------| ___________ 2 | ___________ 2 | / ___ | / ___ | / 1 \/ 5 | / 1 \/ 5 | 2*3 / - + ----- |2*3 / - + ----- | \/ 2 2 \ \/ 2 2 /
___________ / ___ / 1 \/ 5 1 x3 = 3 / - + ----- - ---------------- \/ 2 2 ___________ / ___ / 1 \/ 5 3 / - + ----- \/ 2 2
x3 = -1/(1/2 + sqrt(5)/2)^(1/3) + (1/2 + sqrt(5)/2)^(1/3)
suma
___________ / ___________\ ___________ / ___________\ / ___ | / ___ | / ___ | / ___ | / 1 \/ 5 | ___ / 1 \/ 5 | / 1 \/ 5 | ___ / 1 \/ 5 | ___________ 3 / - + ----- | ___ \/ 3 *3 / - + ----- | 3 / - + ----- | ___ \/ 3 *3 / - + ----- | / ___ 1 \/ 2 2 | \/ 3 \/ 2 2 | 1 \/ 2 2 | \/ 3 \/ 2 2 | / 1 \/ 5 1 ------------------ - ---------------- + I*|- ------------------ - ----------------------| + ------------------ - ---------------- + I*|------------------ + ----------------------| + 3 / - + ----- - ---------------- ___________ 2 | ___________ 2 | ___________ 2 | ___________ 2 | \/ 2 2 ___________ / ___ | / ___ | / ___ | / ___ | / ___ / 1 \/ 5 | / 1 \/ 5 | / 1 \/ 5 | / 1 \/ 5 | / 1 \/ 5 2*3 / - + ----- | 2*3 / - + ----- | 2*3 / - + ----- |2*3 / - + ----- | 3 / - + ----- \/ 2 2 \ \/ 2 2 / \/ 2 2 \ \/ 2 2 / \/ 2 2
=
/ ___________\ / ___________\ | / ___ | | / ___ | | ___ / 1 \/ 5 | | ___ / 1 \/ 5 | | ___ \/ 3 *3 / - + ----- | | ___ \/ 3 *3 / - + ----- | | \/ 3 \/ 2 2 | | \/ 3 \/ 2 2 | I*|------------------ + ----------------------| + I*|- ------------------ - ----------------------| | ___________ 2 | | ___________ 2 | | / ___ | | / ___ | | / 1 \/ 5 | | / 1 \/ 5 | |2*3 / - + ----- | | 2*3 / - + ----- | \ \/ 2 2 / \ \/ 2 2 /
producto
/ ___________ / ___________\\ / ___________ / ___________\\ | / ___ | / ___ || | / ___ | / ___ || | / 1 \/ 5 | ___ / 1 \/ 5 || | / 1 \/ 5 | ___ / 1 \/ 5 || / ___________ \ | 3 / - + ----- | ___ \/ 3 *3 / - + ----- || | 3 / - + ----- | ___ \/ 3 *3 / - + ----- || | / ___ | | 1 \/ 2 2 | \/ 3 \/ 2 2 || | 1 \/ 2 2 | \/ 3 \/ 2 2 || | / 1 \/ 5 1 | |------------------ - ---------------- + I*|- ------------------ - ----------------------||*|------------------ - ---------------- + I*|------------------ + ----------------------||*|3 / - + ----- - ----------------| | ___________ 2 | ___________ 2 || | ___________ 2 | ___________ 2 || |\/ 2 2 ___________| | / ___ | / ___ || | / ___ | / ___ || | / ___ | | / 1 \/ 5 | / 1 \/ 5 || | / 1 \/ 5 | / 1 \/ 5 || | / 1 \/ 5 | |2*3 / - + ----- | 2*3 / - + ----- || |2*3 / - + ----- |2*3 / - + ----- || | 3 / - + ----- | \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 /
=
1
1
x1 = -0.161092677313043 - 1.75438095978372*i
x2 = -0.161092677313043 + 1.75438095978372*i
x3 = 0.322185354626086
x3 = 0.322185354626086