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人気のある代数 >

4x^4-33x^2+50=0

解

4 x^{4} - 33 x^{2} + 50 = 0

解

x = \frac{5}{2}, x = - \frac{5}{2}, x = 2, x = - 2

+1

十進法表記

x = 2.5, x = - 2.5, x = 1.41421 \dots, x = - 1.41421 \dots

解答ステップ

4 x^{4} - 33 x^{2} + 50 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} - 33 u + 50 = 0

解く

4 u^{2} - 33 u + 50 = 0 : u = \frac{25}{4}, u = 2

u = \frac{25}{4}, u = 2

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{25}{4} : x = \frac{5}{2}, x = - \frac{5}{2}

解く

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

解答は

x = \frac{5}{2}, x = - \frac{5}{2}, x = 2, x = - 2

グラフ

人気の例

a^{4} - a^{2} = 2

2 x^{3} - 31 = 0

(2 x^{2} - 1)^{2} = 36

(3y+18)(y^2-11y+30)=0

(3 y + 18) (y^{2} - 11 y + 30) = 0

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

so l v e f or y, x^{2} + y^{3} = c