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人気のある代数 >

([(13+x)(13-x)(3+x)(3-x)])/(16)=144

解

\frac{[ ( 13 + x ) ( 13 - x ) ( 3 + x ) ( 3 - x ) ]}{16} = 144

解

x = 89 + 1634, x = - 89 + 1634, x = - 89 + 1634 i, x = - - 89 + 1634 i

解答ステップ

\frac{[ ( 13 + x ) ( 13 - x ) ( 3 + x ) ( 3 - x ) ]}{16} = 144

以下で両辺を乗じる:

16

(13 + x) (13 - x) (3 + x) (3 - x) = 2304

拡張

(13 + x) (13 - x) (3 + x) (3 - x) : 1521 - 178 x^{2} + x^{4}

1521 - 178 x^{2} + x^{4} = 2304

2304

を左側に移動します

x^{4} - 178 x^{2} - 783 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 178 u - 783 = 0

解く

u^{2} - 178 u - 783 = 0 : u = 89 + 1634, u = 89 - 1634

u = 89 + 1634, u = 89 - 1634

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 89 + 1634 : x = 89 + 1634, x = - 89 + 1634

解く

x^{2} = 89 - 1634 : x = - 89 + 1634 i, x = - - 89 + 1634 i

解答は

x = 89 + 1634, x = - 89 + 1634, x = - 89 + 1634 i, x = - - 89 + 1634 i

グラフ

人気の例

x^5-3x^2+x+10=0

x^{5} - 3 x^{2} + x + 10 = 0

(x^2+x-6)^2-(x^2+2x+1)^2=0

(x^{2} + x - 6)^{2} - (x^{2} + 2 x + 1)^{2} = 0

x(x-1)^3(x-2)^5=0

x (x - 1)^{3} (x - 2)^{5} = 0

(x-15)^5-(x-15)^3=0

(x - 15)^{5} - (x - 15)^{3} = 0

solvefor x,x^{2021}+y=4y-3

so l v e f or x, x^{2021} + y = 4 y - 3