The teacher will be very surprised to see your correct solution 😉
_______________ / _______________\ / ___ | / ___ | / 81 27*\/ 5 | ___ / 81 27*\/ 5 | 3 / -- + -------- | ___ \/ 3 *3 / -- + -------- | \/ 2 2 3 | 3*\/ 3 \/ 2 2 | x1 = 1 + -------------------- + ---------------------- + I*|- ---------------------- + --------------------------| 6 _______________ | _______________ 6 | / ___ | / ___ | / 81 27*\/ 5 | / 81 27*\/ 5 | 2*3 / -- + -------- | 2*3 / -- + -------- | \/ 2 2 \ \/ 2 2 /
_______________ / _______________ \ / ___ | / ___ | / 81 27*\/ 5 | ___ / 81 27*\/ 5 | 3 / -- + -------- | \/ 3 *3 / -- + -------- ___ | \/ 2 2 3 | \/ 2 2 3*\/ 3 | x2 = 1 + -------------------- + ---------------------- + I*|- -------------------------- + ----------------------| 6 _______________ | 6 _______________| / ___ | / ___ | / 81 27*\/ 5 | / 81 27*\/ 5 | 2*3 / -- + -------- | 2*3 / -- + -------- | \/ 2 2 \ \/ 2 2 /
_______________ / ___ / 81 27*\/ 5 3 / -- + -------- 3 \/ 2 2 x3 = 1 - -------------------- - -------------------- _______________ 3 / ___ / 81 27*\/ 5 3 / -- + -------- \/ 2 2
sum
_______________ / _______________\ _______________ / _______________ \ _______________ / ___ | / ___ | / ___ | / ___ | / ___ / 81 27*\/ 5 | ___ / 81 27*\/ 5 | / 81 27*\/ 5 | ___ / 81 27*\/ 5 | / 81 27*\/ 5 3 / -- + -------- | ___ \/ 3 *3 / -- + -------- | 3 / -- + -------- | \/ 3 *3 / -- + -------- ___ | 3 / -- + -------- \/ 2 2 3 | 3*\/ 3 \/ 2 2 | \/ 2 2 3 | \/ 2 2 3*\/ 3 | 3 \/ 2 2 0 + 1 + -------------------- + ---------------------- + I*|- ---------------------- + --------------------------| + 1 + -------------------- + ---------------------- + I*|- -------------------------- + ----------------------| + 1 - -------------------- - -------------------- 6 _______________ | _______________ 6 | 6 _______________ | 6 _______________| _______________ 3 / ___ | / ___ | / ___ | / ___ | / ___ / 81 27*\/ 5 | / 81 27*\/ 5 | / 81 27*\/ 5 | / 81 27*\/ 5 | / 81 27*\/ 5 2*3 / -- + -------- | 2*3 / -- + -------- | 2*3 / -- + -------- | 2*3 / -- + -------- | 3 / -- + -------- \/ 2 2 \ \/ 2 2 / \/ 2 2 \ \/ 2 2 / \/ 2 2
=
/ _______________\ / _______________ \ | / ___ | | / ___ | | ___ / 81 27*\/ 5 | | ___ / 81 27*\/ 5 | | ___ \/ 3 *3 / -- + -------- | | \/ 3 *3 / -- + -------- ___ | | 3*\/ 3 \/ 2 2 | | \/ 2 2 3*\/ 3 | 3 + I*|- ---------------------- + --------------------------| + I*|- -------------------------- + ----------------------| | _______________ 6 | | 6 _______________| | / ___ | | / ___ | | / 81 27*\/ 5 | | / 81 27*\/ 5 | | 2*3 / -- + -------- | | 2*3 / -- + -------- | \ \/ 2 2 / \ \/ 2 2 /
product
/ _______________ / _______________\\ / _______________ / _______________ \\ / _______________\ | / ___ | / ___ || | / ___ | / ___ || | / ___ | | / 81 27*\/ 5 | ___ / 81 27*\/ 5 || | / 81 27*\/ 5 | ___ / 81 27*\/ 5 || | / 81 27*\/ 5 | | 3 / -- + -------- | ___ \/ 3 *3 / -- + -------- || | 3 / -- + -------- | \/ 3 *3 / -- + -------- ___ || | 3 / -- + -------- | | \/ 2 2 3 | 3*\/ 3 \/ 2 2 || | \/ 2 2 3 | \/ 2 2 3*\/ 3 || | 3 \/ 2 2 | 1*|1 + -------------------- + ---------------------- + I*|- ---------------------- + --------------------------||*|1 + -------------------- + ---------------------- + I*|- -------------------------- + ----------------------||*|1 - -------------------- - --------------------| | 6 _______________ | _______________ 6 || | 6 _______________ | 6 _______________|| | _______________ 3 | | / ___ | / ___ || | / ___ | / ___ || | / ___ | | / 81 27*\/ 5 | / 81 27*\/ 5 || | / 81 27*\/ 5 | / 81 27*\/ 5 || | / 81 27*\/ 5 | | 2*3 / -- + -------- | 2*3 / -- + -------- || | 2*3 / -- + -------- | 2*3 / -- + -------- || | 3 / -- + -------- | \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 /
=
-5
-5
x1 = -1.10380340273554
x2 = 2.05190170136777 - 0.565235851677171*i
x3 = 2.05190170136777 + 0.565235851677171*i
x3 = 2.05190170136777 + 0.565235851677171*i