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 >

((0.5(x^5)))/((5x^3-2x^2+3x+7))=5

解答

\frac{( 0.5 ( x ^{5} ) )}{( 5 x ^{3} - 2 x ^{2} + 3 x + 7 )} = 5

解答

x \approx - 0.84874 \dots, x \approx - 7.28888 \dots, x \approx 6.92446 \dots

求解步骤

\frac{( 0.5 ( x ^{5} ) )}{( 5 x ^{3} - 2 x ^{2} + 3 x + 7 )} = 5

化简

\frac{0.5 ( x ^{5} )}{5 x ^{3} - 2 x ^{2} + 3 x + 7} : \frac{0.5 x ^{5}}{5 x ^{3} - 2 x ^{2} + 3 x + 7}

\frac{0.5 x ^{5}}{5 x ^{3} - 2 x ^{2} + 3 x + 7} = 5

在两边乘以

5 x^{3} - 2 x^{2} + 3 x + 7

0.5 x^{5} = 5 (5 x^{3} - 2 x^{2} + 3 x + 7)

解

0.5 x^{5} = 5 (5 x^{3} - 2 x^{2} + 3 x + 7) : x \approx - 0.84874 \dots, x \approx - 7.28888 \dots, x \approx 6.92446 \dots

x \approx - 0.84874 \dots, x \approx - 7.28888 \dots, x \approx 6.92446 \dots

验证解

找到无定义的点（奇点）:

x = - 0.84618 \dots

将不在定义域的点与解相综合:

x \approx - 0.84874 \dots, x \approx - 7.28888 \dots, x \approx 6.92446 \dots

作图

流行的例子

((5x)/(4x))+2x=6

(\frac{5 x}{4 x}) + 2 x = 6

\frac{1}{5 y - 2} = 5

x/3 = 4/((x-1))

\frac{x}{3} = \frac{4}{( x - 1 )}

1/((1/x-1/3))+1/((1/x-1/3))=x^3

\frac{1}{( \frac{1}{x} - \frac{1}{3} )} + \frac{1}{( \frac{1}{x} - \frac{1}{3} )} = x^{3}

(0.6)/x =(0.3)/2

\frac{0.6}{x} = \frac{0.3}{2}