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人気のある代数 >

(6x^4)/3 =32

解

\frac{6 x ^{4}}{3} = 32

解

x = 2, x = - 2, x = 2 i, x = - 2 i

解答ステップ

\frac{6 x ^{4}}{3} = 32

以下で両辺を乗じる:

3

6 x^{4} = 96

以下で両辺を割る

6

x^{4} = 16

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = 16

解く

u^{2} = 16 : u = 16, u = - 16

u = 16, u = - 16

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = 2, x = - 2, x = 2 i, x = - 2 i

グラフ

人気の例

x^{3} = 7 x

2x^3+7x^2+32x+112=0

2 x^{3} + 7 x^{2} + 32 x + 112 = 0

-3x^4+8x^2-2x-9=0

- 3 x^{4} + 8 x^{2} - 2 x - 9 = 0

(r^2+2r+10)^3r(r+1)^2=0

(r^{2} + 2 r + 10)^{3} r (r + 1)^{2} = 0

3 x^{3} = 27 x