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人気のある代数 >

x^4+2x^2=15

解

x^{4} + 2 x^{2} = 15

解

x = 3, x = - 3, x = 5 i, x = - 5 i

解答ステップ

x^{4} + 2 x^{2} = 15

15

を左側に移動します

x^{4} + 2 x^{2} - 15 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} + 2 u - 15 = 0

解く

u^{2} + 2 u - 15 = 0 : u = 3, u = - 5

u = 3, u = - 5

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 3 : x = 3, x = - 3

解く

x^{2} = - 5 : x = 5 i, x = - 5 i

解答は

x = 3, x = - 3, x = 5 i, x = - 5 i

グラフ

人気の例

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rationalrootstest x^3-2x^2-25x+50=0

r a t i o na l roo t s t es t x^{3} - 2 x^{2} - 25 x + 50 = 0