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人気のある代数 >

(x-1)(x+1)(x+3)(x+5)+15=0

解

(x - 1) (x + 1) (x + 3) (x + 5) + 15 = 0

解

x = 0, x = - 4, x = - 2 + 6, x = - 2 - 6

+1

十進法表記

x = 0, x = - 4, x = 0.44948 \dots, x = - 4.44948 \dots

解答ステップ

(x - 1) (x + 1) (x + 3) (x + 5) + 15 = 0

拡張

(x - 1) (x + 1) (x + 3) (x + 5) + 15 : x^{4} + 8 x^{3} + 14 x^{2} - 8 x

x^{4} + 8 x^{3} + 14 x^{2} - 8 x = 0

因数

x^{4} + 8 x^{3} + 14 x^{2} - 8 x : x (x + 4) (x^{2} + 4 x - 2)

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

解く

x + 4 = 0 : x = - 4

解く

x^{2} + 4 x - 2 = 0 : x = - 2 + 6, x = - 2 - 6

解答は

x = 0, x = - 4, x = - 2 + 6, x = - 2 - 6

グラフ

人気の例

n^{100} = 2

60x^3-22x^2-4x=0

60 x^{3} - 22 x^{2} - 4 x = 0

x^3-7x^2+8x+10=0

x^{3} - 7 x^{2} + 8 x + 10 = 0

x^{4} - 8 x^{9} - 9 = 0

(m^2+1)^3(m^2+m+1)^2=0

(m^{2} + 1)^{3} (m^{2} + m + 1)^{2} = 0