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人気のある代数 >

solvefor x,f=x^2ygx^2+2

解

解く

x, f = x^{2} y g x^{2} + 2

解

x = \frac{f - 2}{y g}, x = - \frac{f - 2}{y g}, x = i 4 \frac{f - 2}{y g}, x = - i 4 \frac{f - 2}{y g}

解答ステップ

f = x^{2} y g x^{2} + 2

辺を交換する

x^{2} y g x^{2} + 2 = f

2

を右側に移動します

x^{2} y g x^{2} = f - 2

簡素化

x^{4} y g = f - 2

以下で両辺を割る

y g; y g \neq = 0

\frac{x ^{4} y g}{y g} = \frac{f - 2}{y g}; y g \neq = 0

x^{4} = \frac{f - 2}{y g}; y g \neq = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = \frac{f - 2}{y g}

解く

u^{2} = \frac{f - 2}{y g} : u = \frac{f - 2}{y g}, u = - \frac{f - 2}{y g}

u = \frac{f - 2}{y g}, u = - \frac{f - 2}{y g}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{f - 2}{y g} : x = \frac{f - 2}{y g}, x = - \frac{f - 2}{y g}

解く

x^{2} = - \frac{f - 2}{y g} : x = i 4 \frac{f - 2}{y g}, x = - i 4 \frac{f - 2}{y g}

解答は

x = \frac{f - 2}{y g}, x = - \frac{f - 2}{y g}, x = i 4 \frac{f - 2}{y g}, x = - i 4 \frac{f - 2}{y g}

グラフ

人気の例

k^3-3k^2-0.47k+0.47=0

k^{3} - 3 k^{2} - 0.47 k + 0.47 = 0

4 \cdot 1 0^{- 9} = 4 x^{3}

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

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

x = x^{5} + 5 x^{3} + 3

9a^3-81a=-2a^2+18

9 a^{3} - 81 a = - 2 a^{2} + 18