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人気のある代数 >

2x^8-3+5=15

解

2 x^{8} - 3 + 5 = 15

解

x = 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - - 4 \frac{13}{2}, x = 8 \frac{13}{32} + i 8 \frac{13}{32}, x = - 8 \frac{13}{32} - i 8 \frac{13}{32}, x = 8 \frac{13}{32} - i 8 \frac{13}{32}, x = - 8 \frac{13}{32} + i 8 \frac{13}{32}

解答ステップ

2 x^{8} - 3 + 5 = 15

3

を右側に移動します

2 x^{8} + 5 = 18

5

を右側に移動します

2 x^{8} = 13

以下で両辺を割る

2

x^{8} = \frac{13}{2}

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = \frac{13}{2}

解く

u^{4} = \frac{13}{2} : u = \frac{13}{2}, u = - \frac{13}{2}, u = - \frac{13}{2}, u = - - \frac{13}{2}

u = \frac{13}{2}, u = - \frac{13}{2}, u = - \frac{13}{2}, u = - - \frac{13}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{13}{2} : x = 4 \frac{13}{2}, x = - 4 \frac{13}{2}

解く

x^{2} = - \frac{13}{2} : x = - 4 \frac{13}{2}, x = - - 4 \frac{13}{2}

解く

x^{2} = - \frac{13}{2} : x = 8 \frac{13}{32} + i 8 \frac{13}{32}, x = - 8 \frac{13}{32} - i 8 \frac{13}{32}

解く

x^{2} = - - \frac{13}{2} : x = 8 \frac{13}{32} - i 8 \frac{13}{32}, x = - 8 \frac{13}{32} + i 8 \frac{13}{32}

解答は

x = 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - - 4 \frac{13}{2}, x = 8 \frac{13}{32} + i 8 \frac{13}{32}, x = - 8 \frac{13}{32} - i 8 \frac{13}{32}, x = 8 \frac{13}{32} - i 8 \frac{13}{32}, x = - 8 \frac{13}{32} + i 8 \frac{13}{32}

グラフ

人気の例

x^{3} x + 8 = - 4

x^3+9x^2+17x+6=0

x^{3} + 9 x^{2} + 17 x + 6 = 0

x^{6} + 16 = 0

b^{3} = 44

x^{3} + 4 x = 5