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 >

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

解答

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

解答

x = - 5, x = - 7, x = - \frac{9}{2}, x = - \frac{15}{2}

+1

十进制

x = - 5, x = - 7, x = - 4.5, x = - 7.5

求解步骤

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

展开

4 (x + 6)^{4} - 13 (x + 6)^{2} : 4 x^{4} + 96 x^{3} + 851 x^{2} + 3300 x + 4716

4 x^{4} + 96 x^{3} + 851 x^{2} + 3300 x + 4716 = - 9

将

9

para o lado esquerdo

4 x^{4} + 96 x^{3} + 851 x^{2} + 3300 x + 4725 = 0

因式分解

4 x^{4} + 96 x^{3} + 851 x^{2} + 3300 x + 4725 : (x + 5) (x + 7) (2 x + 9) (2 x + 15)

(x + 5) (x + 7) (2 x + 9) (2 x + 15) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 5 = 0 or x + 7 = 0 or 2 x + 9 = 0 or 2 x + 15 = 0

解

x + 5 = 0 : x = - 5

解

x + 7 = 0 : x = - 7

解

2 x + 9 = 0 : x = - \frac{9}{2}

解

2 x + 15 = 0 : x = - \frac{15}{2}

解为

x = - 5, x = - 7, x = - \frac{9}{2}, x = - \frac{15}{2}

作图

流行的例子

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

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

4 x - 4 x^{6} = 0

4X+X^4+9X+18=12(X+2)

4 X + X^{4} + 9 X + 18 = 12 (X + 2)

(1 + x)^{12} = 1.1

x^{3} + 5 x^{2} - 24 x = 0