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受欢迎的代数 >

(x-2)/(2x^2-7x-15)x=-2

解答

\frac{x - 2}{2 x ^{2} - 7 x - 15} x = - 2

解答

x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

+1

十进制

x = - 1.32574 \dots, x = 4.52574 \dots

求解步骤

\frac{x - 2}{2 x ^{2} - 7 x - 15} x = - 2

化简

\frac{x - 2}{2 x ^{2} - 7 x - 15} x : \frac{x ( x - 2 )}{2 x ^{2} - 7 x - 15}

\frac{x ( x - 2 )}{2 x ^{2} - 7 x - 15} = - 2

在两边乘以

2 x^{2} - 7 x - 15

x (x - 2) = - 2 (2 x^{2} - 7 x - 15)

解

x (x - 2) = - 2 (2 x^{2} - 7 x - 15) : x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

验证解

找到无定义的点（奇点）:

x = 5, x = - \frac{3}{2}

将不在定义域的点与解相综合:

x = - \frac{- 8 + 214}{5}, x = \frac{8 + 214}{5}

作图

流行的例子

solvefor b,2=q+f/b

so l v e f or b, 2 = q + \frac{f}{b}

solvefor x,(-y)/(x+1)(2)=3

so l v e f or x, \frac{- y}{x + 1} (2) = 3

6/f-(10)/(3f)=2

\frac{6}{f} - \frac{10}{3 f} = 2

879200=(405)/(b^2)

879200 = \frac{405}{b ^{2}}

(2x+3)/(15x-6)= 5/9

\frac{2 x + 3}{15 x - 6} = \frac{5}{9}