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人気のある代数 >

x^4-12x^3+46x^2-60x+16=0

解

x^{4} - 12 x^{3} + 46 x^{2} - 60 x + 16 = 0

解

x = 2, x = 4, x = 3 + 7, x = 3 - 7

+1

十進法表記

x = 2, x = 4, x = 5.64575 \dots, x = 0.35424 \dots

解答ステップ

x^{4} - 12 x^{3} + 46 x^{2} - 60 x + 16 = 0

因数

x^{4} - 12 x^{3} + 46 x^{2} - 60 x + 16 : (x - 2) (x - 4) (x^{2} - 6 x + 2)

(x - 2) (x - 4) (x^{2} - 6 x + 2) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x - 2 = 0 or x - 4 = 0 or x^{2} - 6 x + 2 = 0

解く

x - 2 = 0 : x = 2

解く

x - 4 = 0 : x = 4

解く

x^{2} - 6 x + 2 = 0 : x = 3 + 7, x = 3 - 7

解答は

x = 2, x = 4, x = 3 + 7, x = 3 - 7

グラフ

人気の例

2 x^{2} = x^{3}

n(n+1)=(n(n+1)(n+2))/3

n (n + 1) = \frac{n ( n + 1 ) ( n + 2 )}{3}

- 64 = m^{3}

solvefor x,0=x^3-2x+5

so l v e f or x, 0 = x^{3} - 2 x + 5

x^{4} + x^{2} + x + 1 = 0