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人気のある代数 >

5x^4=3,x^2=8

解

5 x^{4} = 3, x^{2} = 8

解

x = \frac{3}{5}, x = - \frac{3}{5}, x = - \frac{3}{5}, x = - - \frac{3}{5}

解答ステップ

5 x^{4} = 3, x^{2} = 8

以下で両辺を割る

5

x^{4} = \frac{3}{5}

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = \frac{3}{5}

解く

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

u = \frac{3}{5}, u = - \frac{3}{5}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{3}{5} : x = \frac{3}{5}, x = - \frac{3}{5}

解く

x^{2} = - \frac{3}{5} : x = - \frac{3}{5}, x = - - \frac{3}{5}

解答は

x = \frac{3}{5}, x = - \frac{3}{5}, x = - \frac{3}{5}, x = - - \frac{3}{5}

グラフ

人気の例

2x^5-6x^3+8x^2-5=0

2 x^{5} - 6 x^{3} + 8 x^{2} - 5 = 0

(x^3-4x^2)=(16x-64)

(x^{3} - 4 x^{2}) = (16 x - 64)

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

-x^3+10x^2-31x+30=0

- x^{3} + 10 x^{2} - 31 x + 30 = 0

1000+(3-x)^{(10)}=1978

1000 + (3 - x)^{(10)} = 1978