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人気のある代数 >

(x^2-7x+11)^8=1

解

(x^{2} - 7 x + 11)^{8} = 1

解

x = 5, x = 2, x = 4, x = 3

解答ステップ

(x^{2} - 7 x + 11)^{8} = 1

(g (x))^{n} = f (a)

の場合, n は偶数, 解は

g (x) = n f (a), - n f (a)

解く

x^{2} - 7 x + 11 = 81 : x = 5, x = 2

解く

x^{2} - 7 x + 11 = - 81 : x = 4, x = 3

解答は

x = 5, x = 2, x = 4, x = 3

グラフ

人気の例

x (x^{2} - 4) = 0

- 3 x^{3} = 75 x

2(64x^2-25)(x^2+49)=0

2 (64 x^{2} - 25) (x^{2} + 49) = 0

- x^{4} + 1 = 2 x^{2} - 3

x^4-5x^3-7x^2+29x=-30

x^{4} - 5 x^{3} - 7 x^{2} + 29 x = - 30