ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

6x^8+6=13x^4

解

6 x^{8} + 6 = 13 x^{4}

解

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

解答ステップ

6 x^{8} + 6 = 13 x^{4}

13 x^{4}

を左側に移動します

6 x^{8} + 6 - 13 x^{4} = 0

標準的な形式で書く

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

6 x^{8} - 13 x^{4} + 6 = 0

equationを

u = x^{2}, u^{2} = x^{4}

と以下で書き換える:

u^{4} = x^{8}

6 u^{4} - 13 u^{2} + 6 = 0

解く

6 u^{4} - 13 u^{2} + 6 = 0 : u = \frac{3}{2}, u = - \frac{3}{2}, u = \frac{2}{3}, u = - \frac{2}{3}

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解く

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

解く

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

解答は

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

グラフ

人気の例

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

solvefor y,x=y^3-6

so l v e f or y, x = y^{3} - 6

x^3-6x^2+13x-12=0

x^{3} - 6 x^{2} + 13 x - 12 = 0

x^2-5x=2x^3-4x^2-x+6

x^{2} - 5 x = 2 x^{3} - 4 x^{2} - x + 6

1200=600x^2(3-x)

1200 = 600 x^{2} (3 - x)