zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

(81x^2-100)(x^2-14)=0

解答

(81 x^{2} - 100) (x^{2} - 14) = 0

解答

x = - \frac{10}{9}, x = \frac{10}{9}, x = - 14, x = 14

+1

十进制

x = - 1.11111 \dots, x = 1.11111 \dots, x = - 3.74165 \dots, x = 3.74165 \dots

求解步骤

(81 x^{2} - 100) (x^{2} - 14) = 0

因式分解

(81 x^{2} - 100) (x^{2} - 14) : (9 x + 10) (9 x - 10) (x + 14) (x - 14)

(9 x + 10) (9 x - 10) (x + 14) (x - 14) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

9 x + 10 = 0 or 9 x - 10 = 0 or x + 14 = 0 or x - 14 = 0

解

9 x + 10 = 0 : x = - \frac{10}{9}

解

9 x - 10 = 0 : x = \frac{10}{9}

解

x + 14 = 0 : x = - 14

解

x - 14 = 0 : x = 14

解为

x = - \frac{10}{9}, x = \frac{10}{9}, x = - 14, x = 14

作图

流行的例子

6x+21x^2+12x^3=0

6 x + 21 x^{2} + 12 x^{3} = 0

2 x^{5} - 4 x - 7 = 0

2x^3-x^2+11x-5=0

2 x^{3} - x^{2} + 11 x - 5 = 0

x^{3} - 5 x^{2} + 14 x = 0

x^3+3x^2-3x-1=0

x^{3} + 3 x^{2} - 3 x - 1 = 0