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人気のある代数 >

2x^4-29x^2-48=0

解

2 x^{4} - 29 x^{2} - 48 = 0

解

x = 4, x = - 4, x = \frac{3}{2} i, x = - \frac{3}{2} i

解答ステップ

2 x^{4} - 29 x^{2} - 48 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} - 29 u - 48 = 0

解く

2 u^{2} - 29 u - 48 = 0 : u = 16, u = - \frac{3}{2}

u = 16, u = - \frac{3}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 16 : x = 4, x = - 4

解く

x^{2} = - \frac{3}{2} : x = \frac{3}{2} i, x = - \frac{3}{2} i

解答は

x = 4, x = - 4, x = \frac{3}{2} i, x = - \frac{3}{2} i

グラフ

人気の例

solvefor x,y=8x^3

so l v e f or x, y = 8 x^{3}

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

x^3+3x^2=49x+147

x^{3} + 3 x^{2} = 49 x + 147

1 - x^{3} = 0

x^{4} - 10 x + 9 = 0