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受欢迎的代数 >

1/(2(4-x))=8-2.5x

解答

\frac{1}{2 ( 4 - x )} = 8 - 2.5 x

解答

x = \frac{21}{5}, x = 3

+1

十进制

x = 4.2, x = 3

求解步骤

\frac{1}{2 ( 4 - x )} = 8 - 2.5 x

在两边乘以

10

\frac{5}{4 - x} = 80 - 25 x

在两边乘以

4 - x

5 = 80 (4 - x) - 25 x (4 - x)

解

5 = 80 (4 - x) - 25 x (4 - x) : x = \frac{21}{5}, x = 3

x = \frac{21}{5}, x = 3

验证解

找到无定义的点（奇点）:

x = 4

将不在定义域的点与解相综合:

x = \frac{21}{5}, x = 3

作图

流行的例子

0.25 = \frac{1}{n}

(e^{-4})/t = 1/4

\frac{e ^{- 4}}{t} = \frac{1}{4}

((5+x))/((5-x))-((5-x))/((5+x))= 33/4

\frac{( 5 + x )}{( 5 - x )} - \frac{( 5 - x )}{( 5 + x )} = \frac{33}{4}

0.1 t^{2} = \frac{200}{t}

3/(4(x-6)^2+1)=28

\frac{3}{4 ( x - 6 ) ^{2} + 1} = 28