El profesor se sorprenderá mucho al ver tu solución correcta😉
3/2 ___ x - 22*\/ x + 95 = 0
2 2 / _____________________\ / _____________________\ / _____________________\ / _____________________\ | / ________ | | / ________ | | / ________ | | / ________ | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | x1 = |-------------------------- + --------------------------| - |- -------------------------- + --------------------------------| + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------| | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | / ________ | | / ________ | | / ________ | | / ________ | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | |3 / ---- + ------------ | | 3 / ---- + ------------ | |3 / ---- + ------------ | | 3 / ---- + ------------ | \\/ 2 2 / \ \/ 2 2 / \\/ 2 2 / \ \/ 2 2 /
2 2 / _____________________\ / _____________________\ / _____________________\ / _____________________\ | / ________ | | / ________ | | / ________ | | / ________ | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | x2 = |-------------------------- + --------------------------| - |-------------------------- - --------------------------------| + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------| | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | / ________ | | / ________ | | / ________ | | / ________ | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | |3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | \\/ 2 2 / \\/ 2 2 / \\/ 2 2 / \\/ 2 2 /
x2 = -(-sqrt(3)*(3*sqrt(603249)/2 + 2565/2)^(1/3)/6 + 11*sqrt(3)/(3*sqrt(603249)/2 + 2565/2)^(1/3))^2 + (11/(3*sqrt(603249)/2 + 2565/2)^(1/3) + (3*sqrt(603249)/2 + 2565/2)^(1/3)/6)^2 + 2*i*(-sqrt(3)*(3*sqrt(603249)/2 + 2565/2)^(1/3)/6 + 11*sqrt(3)/(3*sqrt(603249)/2 + 2565/2)^(1/3))*(11/(3*sqrt(603249)/2 + 2565/2)^(1/3) + (3*sqrt(603249)/2 + 2565/2)^(1/3)/6)
suma
2 2 2 2 / _____________________\ / _____________________\ / _____________________\ / _____________________\ / _____________________\ / _____________________\ / _____________________\ / _____________________\ | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | |-------------------------- + --------------------------| - |- -------------------------- + --------------------------------| + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------| + |-------------------------- + --------------------------| - |-------------------------- - --------------------------------| + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------| | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | |3 / ---- + ------------ | | 3 / ---- + ------------ | |3 / ---- + ------------ | | 3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | \\/ 2 2 / \ \/ 2 2 / \\/ 2 2 / \ \/ 2 2 / \\/ 2 2 / \\/ 2 2 / \\/ 2 2 / \\/ 2 2 /
=
2 2 2 / _____________________\ / _____________________\ / _____________________\ / _____________________\ / _____________________\ / _____________________\ / _____________________\ | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | ___ / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | ___ \/ 3 *3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 11*\/ 3 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | - |- -------------------------- + --------------------------------| - |-------------------------- - --------------------------------| + 2*|-------------------------- + --------------------------| + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------| + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------| | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / ________ | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | 3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | | 3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | \ \/ 2 2 / \\/ 2 2 / \\/ 2 2 / \\/ 2 2 / \ \/ 2 2 / \\/ 2 2 / \\/ 2 2 /
producto
/ 2 2 \ / 2 2 \ |/ _____________________\ / _____________________\ / _____________________\ / _____________________\| |/ _____________________\ / _____________________\ / _____________________\ / _____________________\| || / ________ | | / ________ | | / ________ | | / ________ || || / ________ | | / ________ | | / ________ | | / ________ || || / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 || || / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | ___ / 2565 3*\/ 603249 || || 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ || || 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ | | 3 / ---- + ------------ | | ___ \/ 3 *3 / ---- + ------------ || || 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 || || 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 | | 11 \/ 2 2 | | 11*\/ 3 \/ 2 2 || ||-------------------------- + --------------------------| - |- -------------------------- + --------------------------------| + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------||*||-------------------------- + --------------------------| - |-------------------------- - --------------------------------| + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------|| || _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 || || _____________________ 6 | | _____________________ 6 | | _____________________ 6 | | _____________________ 6 || || / ________ | | / ________ | | / ________ | | / ________ || || / ________ | | / ________ | | / ________ | | / ________ || || / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 || || / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 | | / 2565 3*\/ 603249 || ||3 / ---- + ------------ | | 3 / ---- + ------------ | |3 / ---- + ------------ | | 3 / ---- + ------------ || ||3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ | |3 / ---- + ------------ || \\\/ 2 2 / \ \/ 2 2 / \\/ 2 2 / \ \/ 2 2 // \\\/ 2 2 / \\/ 2 2 / \\/ 2 2 / \\/ 2 2 //
=
_______________________ 2/3 _______________________ _____________________ __________________ _____________________ 2/3 2/3 2/3 __________________ 3 / ________ 3 ___ / ________\ ________ 3 / ________ 2/3 3 / ________ 2/3 3 ___ 3 / ________ 2/3 ________ 3 / ________ 3 ___ ________ / ________\ 3 ___ 2/3 / ________\ 3 ___ 6 ___ ________ / ________\ 2/3 5/6 ________ 3 / ________ 484 1911867026007004755*\/ 10260 + 12*\/ 603249 394417413665925*\/ 2 *\2565 + 3*\/ 603249 / 22149089247520093*\/ 603249 *\/ 10260 + 12*\/ 603249 11457351579746682675*2 *\/ 2565 + 3*\/ 603249 895118558064475285*2 *\/ 3 *\/ 855 + \/ 603249 44244691921214335*2 *\/ 603249 *\/ 2565 + 3*\/ 603249 4569348378955*\/ 2 *\/ 603249 *\2565 + 3*\/ 603249 / 3556551467260141*\/ 2 *3 *\855 + \/ 603249 / 1526706489945*\/ 2 *\/ 3 *\/ 201083 *\855 + \/ 603249 / 384243929673825*2 *3 *\/ 201083 *\/ 855 + \/ 603249 --- - ---------------------------------------------- - ---------------------------------------------- + ------------------------------------------------------- + -------------------------------------------------- - --------------------------------------------------- - ---------------------------------------------------------- + ------------------------------------------------------- + ------------------------------------------------- - ---------------------------------------------------------- + ---------------------------------------------------------- 3 309060919754752 219503494144 2781548277792768 309060919754752 28974461227008 927182759264256 1975531447296 1975531447296 219503494144 9658153742336
484/3 - 1911867026007004755*(10260 + 12*sqrt(603249))^(1/3)/309060919754752 - 394417413665925*2^(1/3)*(2565 + 3*sqrt(603249))^(2/3)/219503494144 + 22149089247520093*sqrt(603249)*(10260 + 12*sqrt(603249))^(1/3)/2781548277792768 + 11457351579746682675*2^(2/3)*(2565 + 3*sqrt(603249))^(1/3)/309060919754752 - 895118558064475285*2^(2/3)*3^(1/3)*(855 + sqrt(603249))^(1/3)/28974461227008 - 44244691921214335*2^(2/3)*sqrt(603249)*(2565 + 3*sqrt(603249))^(1/3)/927182759264256 + 4569348378955*2^(1/3)*sqrt(603249)*(2565 + 3*sqrt(603249))^(2/3)/1975531447296 + 3556551467260141*2^(1/3)*3^(2/3)*(855 + sqrt(603249))^(2/3)/1975531447296 - 1526706489945*2^(1/3)*3^(1/6)*sqrt(201083)*(855 + sqrt(603249))^(2/3)/219503494144 + 384243929673825*2^(2/3)*3^(5/6)*sqrt(201083)*(855 + sqrt(603249))^(1/3)/9658153742336
x1 = 3.24443360940608 + 15.1680219774958*i
x2 = 3.24443360940608 - 15.1680219774958*i
x2 = 3.24443360940608 - 15.1680219774958*i