x^9+x=6 (уравнение)

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    Найду корень уравнения: x^9+x=6

    Решение

    Вы ввели [src]
     9        
    x  + x = 6
    x9+x=6x^{9} + x = 6
    График
    -12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-50000000005000000000
    Быстрый ответ [src]
    x1 = 1.19065869746668
    x1=1.19065869746668x_{1} = 1.19065869746668
    x2 = -1.16691289594052 - 0.433616396431201*I
    x2=1.166912895940520.433616396431201ix_{2} = -1.16691289594052 - 0.433616396431201 i
    x3 = -1.16691289594052 + 0.433616396431201*I
    x3=1.16691289594052+0.433616396431201ix_{3} = -1.16691289594052 + 0.433616396431201 i
    x4 = -0.598135585866419 - 1.08054990002294*I
    x4=0.5981355858664191.08054990002294ix_{4} = -0.598135585866419 - 1.08054990002294 i
    x5 = -0.598135585866419 + 1.08054990002294*I
    x5=0.598135585866419+1.08054990002294ix_{5} = -0.598135585866419 + 1.08054990002294 i
    x6 = 0.238611109064299 - 1.19402829814234*I
    x6=0.2386111090642991.19402829814234ix_{6} = 0.238611109064299 - 1.19402829814234 i
    x7 = 0.238611109064299 + 1.19402829814234*I
    x7=0.238611109064299+1.19402829814234ix_{7} = 0.238611109064299 + 1.19402829814234 i
    x8 = 0.931108024009296 - 0.755558418657145*I
    x8=0.9311080240092960.755558418657145ix_{8} = 0.931108024009296 - 0.755558418657145 i
    x9 = 0.931108024009296 + 0.755558418657145*I
    x9=0.931108024009296+0.755558418657145ix_{9} = 0.931108024009296 + 0.755558418657145 i
    Сумма и произведение корней [src]
    сумма
    1.19065869746668 + -1.16691289594052 - 0.433616396431201*I + -1.16691289594052 + 0.433616396431201*I + -0.598135585866419 - 1.08054990002294*I + -0.598135585866419 + 1.08054990002294*I + 0.238611109064299 - 1.19402829814234*I + 0.238611109064299 + 1.19402829814234*I + 0.931108024009296 - 0.755558418657145*I + 0.931108024009296 + 0.755558418657145*I
    ((0.9311080240092960.755558418657145i)+(((0.2386111090642991.19402829814234i)+(((0.5981355858664191.08054990002294i)+((1.19065869746668+(1.166912895940520.433616396431201i))+(1.16691289594052+0.433616396431201i)))+(0.598135585866419+1.08054990002294i)))+(0.238611109064299+1.19402829814234i)))+(0.931108024009296+0.755558418657145i)\left(\left(0.931108024009296 - 0.755558418657145 i\right) + \left(\left(\left(0.238611109064299 - 1.19402829814234 i\right) + \left(\left(\left(-0.598135585866419 - 1.08054990002294 i\right) + \left(\left(1.19065869746668 + \left(-1.16691289594052 - 0.433616396431201 i\right)\right) + \left(-1.16691289594052 + 0.433616396431201 i\right)\right)\right) + \left(-0.598135585866419 + 1.08054990002294 i\right)\right)\right) + \left(0.238611109064299 + 1.19402829814234 i\right)\right)\right) + \left(0.931108024009296 + 0.755558418657145 i\right)
    =
    2.22044604925031e-16
    2.2204460492503110162.22044604925031 \cdot 10^{-16}
    произведение
    1.19065869746668*(-1.16691289594052 - 0.433616396431201*I)*(-1.16691289594052 + 0.433616396431201*I)*(-0.598135585866419 - 1.08054990002294*I)*(-0.598135585866419 + 1.08054990002294*I)*(0.238611109064299 - 1.19402829814234*I)*(0.238611109064299 + 1.19402829814234*I)*(0.931108024009296 - 0.755558418657145*I)*(0.931108024009296 + 0.755558418657145*I)
    1.19065869746668(1.166912895940520.433616396431201i)(1.16691289594052+0.433616396431201i)(0.5981355858664191.08054990002294i)(0.598135585866419+1.08054990002294i)(0.2386111090642991.19402829814234i)(0.238611109064299+1.19402829814234i)(0.9311080240092960.755558418657145i)(0.931108024009296+0.755558418657145i)1.19065869746668 \left(-1.16691289594052 - 0.433616396431201 i\right) \left(-1.16691289594052 + 0.433616396431201 i\right) \left(-0.598135585866419 - 1.08054990002294 i\right) \left(-0.598135585866419 + 1.08054990002294 i\right) \left(0.238611109064299 - 1.19402829814234 i\right) \left(0.238611109064299 + 1.19402829814234 i\right) \left(0.931108024009296 - 0.755558418657145 i\right) \left(0.931108024009296 + 0.755558418657145 i\right)
    =
    6.00000000000000
    6.06.0
    Численный ответ [src]
    x1 = 0.931108024009296 + 0.755558418657145*i
    x2 = -1.16691289594052 - 0.433616396431201*i
    x3 = 0.238611109064299 + 1.19402829814234*i
    x4 = 0.238611109064299 - 1.19402829814234*i
    x5 = -0.598135585866419 + 1.08054990002294*i
    x6 = -0.598135585866419 - 1.08054990002294*i
    x7 = 0.931108024009296 - 0.755558418657145*i
    x8 = 1.19065869746668
    x9 = -1.16691289594052 + 0.433616396431201*i
    График
    x^9+x=6 (уравнение) /media/krcore-image-pods/hash/equation/a/61/75aa43fa666d83ee4032a5cda41c2.png