El profesor se sorprenderá mucho al ver tu solución correcta😉
_______ (x + 5)*(x - 2) + 3*\/ x + 3 = 0
x1 = 1
_________________ / _________________ \ / ______ | / ______ | / 1033 \/ 1965 | ___ / 1033 \/ 1965 | 3 / ---- + -------- | \/ 3 *3 / ---- + -------- ___ | 7 61 \/ 54 6 | \/ 54 6 61*\/ 3 | x2 = - - - ------------------------- - ---------------------- + I*|- ---------------------------- + -------------------------| 3 _________________ 2 | 2 _________________| / ______ | / ______ | / 1033 \/ 1965 | / 1033 \/ 1965 | 18*3 / ---- + -------- | 18*3 / ---- + -------- | \/ 54 6 \ \/ 54 6 /
_________________ / _________________ \ / ______ | / ______ | / 1033 \/ 1965 | ___ / 1033 \/ 1965 | 3 / ---- + -------- |\/ 3 *3 / ---- + -------- ___ | 7 61 \/ 54 6 | \/ 54 6 61*\/ 3 | x3 = - - - ------------------------- - ---------------------- + I*|---------------------------- - -------------------------| 3 _________________ 2 | 2 _________________| / ______ | / ______ | / 1033 \/ 1965 | / 1033 \/ 1965 | 18*3 / ---- + -------- | 18*3 / ---- + -------- | \/ 54 6 \ \/ 54 6 /
x3 = -7/3 - (sqrt(1965)/6 + 1033/54)^(1/3)/2 - 61/(18*(sqrt(1965)/6 + 1033/54)^(1/3)) + i*(-61*sqrt(3)/(18*(sqrt(1965)/6 + 1033/54)^(1/3)) + sqrt(3)*(sqrt(1965)/6 + 1033/54)^(1/3)/2)
suma
_________________ / _________________ \ _________________ / _________________ \ / ______ | / ______ | / ______ | / ______ | / 1033 \/ 1965 | ___ / 1033 \/ 1965 | / 1033 \/ 1965 | ___ / 1033 \/ 1965 | 3 / ---- + -------- | \/ 3 *3 / ---- + -------- ___ | 3 / ---- + -------- |\/ 3 *3 / ---- + -------- ___ | 7 61 \/ 54 6 | \/ 54 6 61*\/ 3 | 7 61 \/ 54 6 | \/ 54 6 61*\/ 3 | 1 + - - - ------------------------- - ---------------------- + I*|- ---------------------------- + -------------------------| + - - - ------------------------- - ---------------------- + I*|---------------------------- - -------------------------| 3 _________________ 2 | 2 _________________| 3 _________________ 2 | 2 _________________| / ______ | / ______ | / ______ | / ______ | / 1033 \/ 1965 | / 1033 \/ 1965 | / 1033 \/ 1965 | / 1033 \/ 1965 | 18*3 / ---- + -------- | 18*3 / ---- + -------- | 18*3 / ---- + -------- | 18*3 / ---- + -------- | \/ 54 6 \ \/ 54 6 / \/ 54 6 \ \/ 54 6 /
=
/ _________________ \ / _________________ \ | / ______ | | / ______ | _________________ | ___ / 1033 \/ 1965 | | ___ / 1033 \/ 1965 | / ______ |\/ 3 *3 / ---- + -------- ___ | | \/ 3 *3 / ---- + -------- ___ | 11 / 1033 \/ 1965 61 | \/ 54 6 61*\/ 3 | | \/ 54 6 61*\/ 3 | - -- - 3 / ---- + -------- - ------------------------ + I*|---------------------------- - -------------------------| + I*|- ---------------------------- + -------------------------| 3 \/ 54 6 _________________ | 2 _________________| | 2 _________________| / ______ | / ______ | | / ______ | / 1033 \/ 1965 | / 1033 \/ 1965 | | / 1033 \/ 1965 | 9*3 / ---- + -------- | 18*3 / ---- + -------- | | 18*3 / ---- + -------- | \/ 54 6 \ \/ 54 6 / \ \/ 54 6 /
producto
/ _________________ / _________________ \\ / _________________ / _________________ \\ | / ______ | / ______ || | / ______ | / ______ || | / 1033 \/ 1965 | ___ / 1033 \/ 1965 || | / 1033 \/ 1965 | ___ / 1033 \/ 1965 || | 3 / ---- + -------- | \/ 3 *3 / ---- + -------- ___ || | 3 / ---- + -------- |\/ 3 *3 / ---- + -------- ___ || | 7 61 \/ 54 6 | \/ 54 6 61*\/ 3 || | 7 61 \/ 54 6 | \/ 54 6 61*\/ 3 || |- - - ------------------------- - ---------------------- + I*|- ---------------------------- + -------------------------||*|- - - ------------------------- - ---------------------- + I*|---------------------------- - -------------------------|| | 3 _________________ 2 | 2 _________________|| | 3 _________________ 2 | 2 _________________|| | / ______ | / ______ || | / ______ | / ______ || | / 1033 \/ 1965 | / 1033 \/ 1965 || | / 1033 \/ 1965 | / 1033 \/ 1965 || | 18*3 / ---- + -------- | 18*3 / ---- + -------- || | 18*3 / ---- + -------- | 18*3 / ---- + -------- || \ \/ 54 6 \ \/ 54 6 // \ \/ 54 6 \ \/ 54 6 //
=
2/3 ____________________ ____________________ / ______\ 3 / ______ 2/3 ______ 3 / ______ 2/3 ______ 4*\1033 + 9*\/ 1965 / 629*\/ 2066 + 18*\/ 1965 4891*2 \/ 1965 *\/ 2066 + 18*\/ 1965 7*2 *\/ 1965 - ------------------------ + --------------------------- + --------- + -------------------------------- + --------------- 3 6 6 2 2 ------------------------------------------------------------------------------------------------------------------------- 2/3 / ______\ \1033 + 9*\/ 1965 /
(-4*(1033 + 9*sqrt(1965))^(2/3)/3 + 629*(2066 + 18*sqrt(1965))^(1/3)/6 + 4891*2^(2/3)/6 + sqrt(1965)*(2066 + 18*sqrt(1965))^(1/3)/2 + 7*2^(2/3)*sqrt(1965)/2)/(1033 + 9*sqrt(1965))^(2/3)
x1 = 1.0
x2 = -4.96078509762886 - 0.614145738213459*i
x3 = -4.96078509762886 + 0.614145738213459*i
x3 = -4.96078509762886 + 0.614145738213459*i