ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

(x^2-6x)^2+2*(x-3)^2=81

解

(x^{2} - 6 x)^{2} + 2 \cdot (x - 3)^{2} = 81

解

x = - 1, x = 3, x = 7

解答ステップ

(x^{2} - 6 x)^{2} + 2 (x - 3)^{2} = 81

拡張

(x^{2} - 6 x)^{2} + 2 (x - 3)^{2} : x^{4} - 12 x^{3} + 38 x^{2} - 12 x + 18

x^{4} - 12 x^{3} + 38 x^{2} - 12 x + 18 = 81

81

を左側に移動します

x^{4} - 12 x^{3} + 38 x^{2} - 12 x - 63 = 0

因数

x^{4} - 12 x^{3} + 38 x^{2} - 12 x - 63 : (x + 1) (x - 3)^{2} (x - 7)

(x + 1) (x - 3)^{2} (x - 7) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x + 1 = 0 or x - 3 = 0 or x - 7 = 0

解く

x + 1 = 0 : x = - 1

解く

x - 3 = 0 : x = 3

解く

x - 7 = 0 : x = 7

解答は

x = - 1, x = 3, x = 7

グラフ

人気の例

6 x^{7} - 8 = 2 (7 - 10)

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

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

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}