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人気のある代数 >

16x^4-145x^2+324=0

解

16 x^{4} - 145 x^{2} + 324 = 0

解

x = \frac{9}{4}, x = - \frac{9}{4}, x = 2, x = - 2

+1

十進法表記

x = 2.25, x = - 2.25, x = 2, x = - 2

解答ステップ

16 x^{4} - 145 x^{2} + 324 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

16 u^{2} - 145 u + 324 = 0

解く

16 u^{2} - 145 u + 324 = 0 : u = \frac{81}{16}, u = 4

u = \frac{81}{16}, u = 4

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{81}{16} : x = \frac{9}{4}, x = - \frac{9}{4}

解く

x^{2} = 4 : x = 2, x = - 2

解答は

x = \frac{9}{4}, x = - \frac{9}{4}, x = 2, x = - 2

グラフ

人気の例

solvefor x,x^3-5x+1=-0.8

so l v e f or x, x^{3} - 5 x + 1 = - 0.8

x^{2} + 2 x - 9 = 2 x^{2} x

j (x) = x^{4}

solvefor x,6x^2(m+2)x+3=0

so l v e f or x, 6 x^{2} (m + 2) x + 3 = 0

x^3+x^2-22x-40=0

x^{3} + x^{2} - 22 x - 40 = 0