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受欢迎的代数 >

5+(4x^2-1)/(4x+6)=x-2

解答

5 + \frac{4 x ^{2} - 1}{4 x + 6} = x - 2

解答

x = - \frac{41}{22}

+1

十进制

x = - 1.86363 \dots

求解步骤

5 + \frac{4 x ^{2} - 1}{4 x + 6} = x - 2

将

5

到右边

\frac{4 x ^{2} - 1}{4 x + 6} = x - 7

在两边乘以

4 x + 6

4 x^{2} - 1 = x (4 x + 6) - 7 (4 x + 6)

乘开

x (4 x + 6) : 4 x^{2} + 6 x

4 x^{2} - 1 = 4 x^{2} + 6 x - 7 (4 x + 6)

乘开

- 7 (4 x + 6) : - 28 x - 42

4 x^{2} - 1 = 4 x^{2} + 6 x - 28 x - 42

同类项相加:

6 x - 28 x = - 22 x

4 x^{2} - 1 = 4 x^{2} - 22 x - 42

将

1

到右边

4 x^{2} = 4 x^{2} - 22 x - 41

两边减去

4 x^{2} - 22 x

4 x^{2} - (4 x^{2} - 22 x) = 4 x^{2} - 22 x - 41 - (4 x^{2} - 22 x)

化简

22 x = - 41

两边除以

22

x = - \frac{41}{22}

验证解

找到无定义的点（奇点）:

x = - \frac{3}{2}

将不在定义域的点与解相综合:

x = - \frac{41}{22}

作图

流行的例子

((2x-3))/x =x+1

\frac{( 2 x - 3 )}{x} = x + 1

\frac{2}{x} = \frac{4}{5}

4/(x+2)=(-3)/(x-3)

\frac{4}{x + 2} = \frac{- 3}{x - 3}

2 m = \frac{9}{m}

(x+1)/(x+2)= 7/6

\frac{x + 1}{x + 2} = \frac{7}{6}