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人気のある代数 >

n^8+12=64

解

n^{8} + 12 = 64

解

n = 2413, n = - 2413, n = - 2413, n = - - 2413, n = 4 \frac{13}{2} + \frac{4 13}{2 4 \frac{13}{2}} i, n = - 4 \frac{13}{2} - \frac{4 13}{2 4 \frac{13}{2}} i, n = 4 \frac{13}{2} - \frac{4 13}{2 4 \frac{13}{2}} i, n = - 4 \frac{13}{2} + \frac{4 13}{2 4 \frac{13}{2}} i

解答ステップ

n^{8} + 12 = 64

12

を右側に移動します

n^{8} = 52

equationを

u = n^{2}

と以下で書き換える:

u^{4} = n^{8}

u^{4} = 52

解く

u^{4} = 52 : u = 2413, u = - 2413, u = 2413 i, u = - 2413 i

u = 2413, u = - 2413, u = 2413 i, u = - 2413 i

再び

u = n^{2}

に置き換えて以下を解く:

n

解く

n^{2} = 2413 : n = 2413, n = - 2413

解く

n^{2} = - 2413 : n = - 2413, n = - - 2413

解く

n^{2} = 2413 i : n = 4 \frac{13}{2} + \frac{4 13}{2 4 \frac{13}{2}} i, n = - 4 \frac{13}{2} - \frac{4 13}{2 4 \frac{13}{2}} i

解く

n^{2} = - 2413 i : n = 4 \frac{13}{2} - \frac{4 13}{2 4 \frac{13}{2}} i, n = - 4 \frac{13}{2} + \frac{4 13}{2 4 \frac{13}{2}} i

解答は

n = 2413, n = - 2413, n = - 2413, n = - - 2413, n = 4 \frac{13}{2} + \frac{4 13}{2 4 \frac{13}{2}} i, n = - 4 \frac{13}{2} - \frac{4 13}{2 4 \frac{13}{2}} i, n = 4 \frac{13}{2} - \frac{4 13}{2 4 \frac{13}{2}} i, n = - 4 \frac{13}{2} + \frac{4 13}{2 4 \frac{13}{2}} i

グラフ

人気の例

x^4-x^2=11x^2+64

x^{4} - x^{2} = 11 x^{2} + 64

x^{3} - 27 i = 0

3x^3-12x^2+3x=0

3 x^{3} - 12 x^{2} + 3 x = 0

- 4 x^{3} + 24 x - 1 = 0

8 x^{3} - 48 x^{2} = 0