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人気のある代数 >

16x^4-1321x^2+2025=0

解

16 x^{4} - 1321 x^{2} + 2025 = 0

解

x = 9, x = - 9, x = \frac{5}{4}, x = - \frac{5}{4}

+1

十進法表記

x = 9, x = - 9, x = 1.25, x = - 1.25

解答ステップ

16 x^{4} - 1321 x^{2} + 2025 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

16 u^{2} - 1321 u + 2025 = 0

解く

16 u^{2} - 1321 u + 2025 = 0 : u = 81, u = \frac{25}{16}

u = 81, u = \frac{25}{16}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 81 : x = 9, x = - 9

解く

x^{2} = \frac{25}{16} : x = \frac{5}{4}, x = - \frac{5}{4}

解答は

x = 9, x = - 9, x = \frac{5}{4}, x = - \frac{5}{4}

グラフ

人気の例

31=4(x^2+2)^3-1

31 = 4 (x^{2} + 2)^{3} - 1

x^{6} + 3 x^{3} - 6 = 0

x^{4} + 3 x^{2} + 1 = 0

80=-0.001x^3+0.18x^2+60

80 = - 0.001 x^{3} + 0.18 x^{2} + 60

1 - z + z^{2} - z^{3} = 0