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人気のある代数 >

(x^2-8)^2+x^2-8=20

解

(x^{2} - 8)^{2} + x^{2} - 8 = 20

解

x = 23, x = - 23, x = 3, x = - 3

+1

十進法表記

x = 3.46410 \dots, x = - 3.46410 \dots, x = 1.73205 \dots, x = - 1.73205 \dots

解答ステップ

(x^{2} - 8)^{2} + x^{2} - 8 = 20

拡張

(x^{2} - 8)^{2} + x^{2} - 8 : x^{4} - 15 x^{2} + 56

x^{4} - 15 x^{2} + 56 = 20

20

を左側に移動します

x^{4} - 15 x^{2} + 36 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 15 u + 36 = 0

解く

u^{2} - 15 u + 36 = 0 : u = 12, u = 3

u = 12, u = 3

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 12 : x = 23, x = - 23

解く

x^{2} = 3 : x = 3, x = - 3

解答は

x = 23, x = - 23, x = 3, x = - 3

グラフ

人気の例

x^3+7x^2+17x-24=0

x^{3} + 7 x^{2} + 17 x - 24 = 0

(x^2-1)(x^2-12)+24=0

(x^{2} - 1) (x^{2} - 12) + 24 = 0

-(12x^5-8x^3)=25x^2

- (12 x^{5} - 8 x^{3}) = 25 x^{2}

solvefor a,a^3+b^3=c^3+d^3

so l v e f or a, a^{3} + b^{3} = c^{3} + d^{3}

-2x^3+2x^2+12x=0

- 2 x^{3} + 2 x^{2} + 12 x = 0