x^9+x=6 (уравнение)
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Найду корень уравнения: x^9+x=6
Решение
График
x1=1.19065869746668 x2 = -1.16691289594052 - 0.433616396431201*I
x2=−1.16691289594052−0.433616396431201i x3 = -1.16691289594052 + 0.433616396431201*I
x3=−1.16691289594052+0.433616396431201i x4 = -0.598135585866419 - 1.08054990002294*I
x4=−0.598135585866419−1.08054990002294i x5 = -0.598135585866419 + 1.08054990002294*I
x5=−0.598135585866419+1.08054990002294i x6 = 0.238611109064299 - 1.19402829814234*I
x6=0.238611109064299−1.19402829814234i x7 = 0.238611109064299 + 1.19402829814234*I
x7=0.238611109064299+1.19402829814234i x8 = 0.931108024009296 - 0.755558418657145*I
x8=0.931108024009296−0.755558418657145i x9 = 0.931108024009296 + 0.755558418657145*I
x9=0.931108024009296+0.755558418657145i
Сумма и произведение корней
[src]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
((0.931108024009296−0.755558418657145i)+(((0.238611109064299−1.19402829814234i)+(((−0.598135585866419−1.08054990002294i)+((1.19065869746668+(−1.16691289594052−0.433616396431201i))+(−1.16691289594052+0.433616396431201i)))+(−0.598135585866419+1.08054990002294i)))+(0.238611109064299+1.19402829814234i)))+(0.931108024009296+0.755558418657145i) 2.22044604925031⋅10−16 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(−1.16691289594052−0.433616396431201i)(−1.16691289594052+0.433616396431201i)(−0.598135585866419−1.08054990002294i)(−0.598135585866419+1.08054990002294i)(0.238611109064299−1.19402829814234i)(0.238611109064299+1.19402829814234i)(0.931108024009296−0.755558418657145i)(0.931108024009296+0.755558418657145i) 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
x9 = -1.16691289594052 + 0.433616396431201*i