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人気のある代数 >

2r^4+5r^3+r^2-2r=0

解

2 r^{4} + 5 r^{3} + r^{2} - 2 r = 0

解

r = 0, r = - 1, r = \frac{1}{2}, r = - 2

+1

十進法表記

r = 0, r = - 1, r = 0.5, r = - 2

解答ステップ

2 r^{4} + 5 r^{3} + r^{2} - 2 r = 0

因数

2 r^{4} + 5 r^{3} + r^{2} - 2 r : r (r + 1) (2 r - 1) (r + 2)

r (r + 1) (2 r - 1) (r + 2) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

r = 0 or r + 1 = 0 or 2 r - 1 = 0 or r + 2 = 0

解く

r + 1 = 0 : r = - 1

解く

2 r - 1 = 0 : r = \frac{1}{2}

解く

r + 2 = 0 : r = - 2

解答は

r = 0, r = - 1, r = \frac{1}{2}, r = - 2

グラフ

人気の例

y^{3} = 0

-x^3+11x^2-36x+36=0

- x^{3} + 11 x^{2} - 36 x + 36 = 0

x^{3} + 4 x^{2} + 5 x = 0

-x^3-650x^2+7917x-17874=0

- x^{3} - 650 x^{2} + 7917 x - 17874 = 0

9 y^{4} - 7 y^{2} = 16