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人気のある代数 >

6x^4-81x^2+162=0

解

6 x^{4} - 81 x^{2} + 162 = 0

解

x = \frac{3 ( 9 + 33 )}{2}, x = - \frac{3 ( 9 + 33 )}{2}, x = \frac{3 ( 9 - 33 )}{2}, x = - \frac{3 ( 9 - 33 )}{2}

+1

十進法表記

x = 3.32542 \dots, x = - 3.32542 \dots, x = 1.56255 \dots, x = - 1.56255 \dots

解答ステップ

6 x^{4} - 81 x^{2} + 162 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

6 u^{2} - 81 u + 162 = 0

解く

6 u^{2} - 81 u + 162 = 0 : u = \frac{3 ( 9 + 33 )}{4}, u = \frac{3 ( 9 - 33 )}{4}

u = \frac{3 ( 9 + 33 )}{4}, u = \frac{3 ( 9 - 33 )}{4}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{3 ( 9 + 33 )}{4} : x = \frac{3 ( 9 + 33 )}{2}, x = - \frac{3 ( 9 + 33 )}{2}

解く

x^{2} = \frac{3 ( 9 - 33 )}{4} : x = \frac{3 ( 9 - 33 )}{2}, x = - \frac{3 ( 9 - 33 )}{2}

解答は

x = \frac{3 ( 9 + 33 )}{2}, x = - \frac{3 ( 9 + 33 )}{2}, x = \frac{3 ( 9 - 33 )}{2}, x = - \frac{3 ( 9 - 33 )}{2}

グラフ

人気の例

solvefor x,f=x^3h

so l v e f or x, f = x^{3} h

x^3-8x^2-4x+32=0

x^{3} - 8 x^{2} - 4 x + 32 = 0

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

4(x+6)^4-13(x+6)^2=-9

4 (x + 6)^{4} - 13 (x + 6)^{2} = - 9

15X^4-445X^2+8000=0

15 X^{4} - 445 X^{2} + 8000 = 0