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人気のある代数 >

2x^4-5x^2-3=0

解

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

解

x = 3, x = - 3, x = \frac{1}{2} i, x = - \frac{1}{2} i

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} - 5 u - 3 = 0

解く

2 u^{2} - 5 u - 3 = 0 : u = 3, u = - \frac{1}{2}

u = 3, u = - \frac{1}{2}

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} = - \frac{1}{2} : x = \frac{1}{2} i, x = - \frac{1}{2} i

解答は

x = 3, x = - 3, x = \frac{1}{2} i, x = - \frac{1}{2} i

グラフ

人気の例

x^4+4x^3+5x^2+4x+1=0

x^{4} + 4 x^{3} + 5 x^{2} + 4 x + 1 = 0

rationalrootstest 5x^3+27x^2-11x+5

r a t i o na l roo t s t es t 5 x^{3} + 27 x^{2} - 11 x + 5

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

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

solvefor y,4x^3-16y=4y^3-16x

so l v e f or y, 4 x^{3} - 16 y = 4 y^{3} - 16 x

4 x^{7} - 64 x^{3} = 0