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 >

solvefor x,2x^4+3=y^2

解

解く

x, 2 x^{4} + 3 = y^{2}

解

x = \frac{y ^{2} - 3}{2}, x = - \frac{y ^{2} - 3}{2}, x = i 4 \frac{y ^{2} - 3}{2}, x = - i 4 \frac{y ^{2} - 3}{2}

解答ステップ

2 x^{4} + 3 = y^{2}

3

を右側に移動します

2 x^{4} = y^{2} - 3

以下で両辺を割る

2

x^{4} = \frac{y ^{2} - 3}{2}

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = \frac{y ^{2} - 3}{2}

解く

u^{2} = \frac{y ^{2} - 3}{2} : u = \frac{y ^{2} - 3}{2}, u = - \frac{y ^{2} - 3}{2}

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = - \frac{y ^{2} - 3}{2} : x = i 4 \frac{y ^{2} - 3}{2}, x = - i 4 \frac{y ^{2} - 3}{2}

解答は

x = \frac{y ^{2} - 3}{2}, x = - \frac{y ^{2} - 3}{2}, x = i 4 \frac{y ^{2} - 3}{2}, x = - i 4 \frac{y ^{2} - 3}{2}

グラフ

人気の例

4x^3-52x^2+160x-100=0

4 x^{3} - 52 x^{2} + 160 x - 100 = 0

n^3+12n^2+48n+64=0

n^{3} + 12 n^{2} + 48 n + 64 = 0

x^{3} + 2 = 1

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

- x^{3} + 2 \cdot x^{2} + x - 2 = 0

2 x^{2} - 5 x^{3} + 1 = 0