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人気のある代数 >

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

解

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

解

r = i, r = - i, r = 2 i, r = - 2 i

解答ステップ

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

equationを

u = r^{2}

と以下で書き換える:

u^{2} = r^{4}

u^{2} + 5 u + 4 = 0

解く

u^{2} + 5 u + 4 = 0 : u = - 1, u = - 4

u = - 1, u = - 4

再び

u = r^{2}

に置き換えて以下を解く:

r

解く

r^{2} = - 1 : r = i, r = - i

解く

r^{2} = - 4 : r = 2 i, r = - 2 i

解答は

r = i, r = - i, r = 2 i, r = - 2 i

グラフ

人気の例

200m^4+80m^3+8m^2=0

200 m^{4} + 80 m^{3} + 8 m^{2} = 0

x^3+4x^2-4x+16=0

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

y^{3} + y = 10

(x+2)(x-2)(x+1)(x-1)+5x^2=20

(x + 2) (x - 2) (x + 1) (x - 1) + 5 x^{2} = 20

b^{6} = 7