El profesor se sorprenderá mucho al ver tu solución correcta😉
3 1 y + 3 -------- - ------- = ------------ 3 2*y + 1 2 8*y + 1 y - 2*y + 1
suma
______________ / ______________ \ ______________ / ______________ \ ______________ / ____ | / ____ | / ____ | / ____ | / ____ / 221 \/ 67 | ___ / 221 \/ 67 | / 221 \/ 67 | ___ / 221 \/ 67 | / 221 \/ 67 3 / --- + ------ |\/ 3 *3 / --- + ------ ___ | 3 / --- + ------ | \/ 3 *3 / --- + ------ ___ | 3 / --- + ------ 2 1 \/ 108 4 | \/ 108 4 \/ 3 | 2 1 \/ 108 4 | \/ 108 4 \/ 3 | 2 \/ 108 4 1 - - - ----------------------- + ------------------- + I*|------------------------- + -----------------------| + - - - ----------------------- + ------------------- + I*|- ------------------------- - -----------------------| + - - - ------------------- + ---------------------- 9 ______________ 6 | 6 ______________| 9 ______________ 6 | 6 ______________| 9 3 ______________ / ____ | / ____ | / ____ | / ____ | / ____ / 221 \/ 67 | / 221 \/ 67 | / 221 \/ 67 | / 221 \/ 67 | / 221 \/ 67 108*3 / --- + ------ | 108*3 / --- + ------ | 108*3 / --- + ------ | 108*3 / --- + ------ | 54*3 / --- + ------ \/ 108 4 \ \/ 108 4 / \/ 108 4 \ \/ 108 4 / \/ 108 4
=
/ ______________ \ / ______________ \ | / ____ | | / ____ | | ___ / 221 \/ 67 | | ___ / 221 \/ 67 | | \/ 3 *3 / --- + ------ ___ | |\/ 3 *3 / --- + ------ ___ | 2 | \/ 108 4 \/ 3 | | \/ 108 4 \/ 3 | - - + I*|- ------------------------- - -----------------------| + I*|------------------------- + -----------------------| 3 | 6 ______________| | 6 ______________| | / ____ | | / ____ | | / 221 \/ 67 | | / 221 \/ 67 | | 108*3 / --- + ------ | | 108*3 / --- + ------ | \ \/ 108 4 / \ \/ 108 4 /
producto
/ ______________ / ______________ \\ / ______________ / ______________ \\ / ______________ \ | / ____ | / ____ || | / ____ | / ____ || | / ____ | | / 221 \/ 67 | ___ / 221 \/ 67 || | / 221 \/ 67 | ___ / 221 \/ 67 || | / 221 \/ 67 | | 3 / --- + ------ |\/ 3 *3 / --- + ------ ___ || | 3 / --- + ------ | \/ 3 *3 / --- + ------ ___ || | 3 / --- + ------ | | 2 1 \/ 108 4 | \/ 108 4 \/ 3 || | 2 1 \/ 108 4 | \/ 108 4 \/ 3 || | 2 \/ 108 4 1 | |- - - ----------------------- + ------------------- + I*|------------------------- + -----------------------||*|- - - ----------------------- + ------------------- + I*|- ------------------------- - -----------------------||*|- - - ------------------- + ----------------------| | 9 ______________ 6 | 6 ______________|| | 9 ______________ 6 | 6 ______________|| | 9 3 ______________| | / ____ | / ____ || | / ____ | / ____ || | / ____ | | / 221 \/ 67 | / 221 \/ 67 || | / 221 \/ 67 | / 221 \/ 67 || | / 221 \/ 67 | | 108*3 / --- + ------ | 108*3 / --- + ------ || | 108*3 / --- + ------ | 108*3 / --- + ------ || | 54*3 / --- + ------ | \ \/ 108 4 \ \/ 108 4 // \ \/ 108 4 \ \/ 108 4 // \ \/ 108 4 /
=
-1/6
-1/6
______________ / ______________ \ / ____ | / ____ | / 221 \/ 67 | ___ / 221 \/ 67 | 3 / --- + ------ |\/ 3 *3 / --- + ------ ___ | 2 1 \/ 108 4 | \/ 108 4 \/ 3 | y1 = - - - ----------------------- + ------------------- + I*|------------------------- + -----------------------| 9 ______________ 6 | 6 ______________| / ____ | / ____ | / 221 \/ 67 | / 221 \/ 67 | 108*3 / --- + ------ | 108*3 / --- + ------ | \/ 108 4 \ \/ 108 4 /
______________ / ______________ \ / ____ | / ____ | / 221 \/ 67 | ___ / 221 \/ 67 | 3 / --- + ------ | \/ 3 *3 / --- + ------ ___ | 2 1 \/ 108 4 | \/ 108 4 \/ 3 | y2 = - - - ----------------------- + ------------------- + I*|- ------------------------- - -----------------------| 9 ______________ 6 | 6 ______________| / ____ | / ____ | / 221 \/ 67 | / 221 \/ 67 | 108*3 / --- + ------ | 108*3 / --- + ------ | \/ 108 4 \ \/ 108 4 /
______________ / ____ / 221 \/ 67 3 / --- + ------ 2 \/ 108 4 1 y3 = - - - ------------------- + ---------------------- 9 3 ______________ / ____ / 221 \/ 67 54*3 / --- + ------ \/ 108 4
y3 = -(221/108 + sqrt(67)/4)^(1/3)/3 - 2/9 + 1/(54*(221/108 + sqrt(67)/4)^(1/3))
y1 = 0.0385827652803931 + 0.471779867138517*i
y2 = 0.0385827652803931 - 0.471779867138517*i
y3 = -0.743832197227453
y3 = -0.743832197227453