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受欢迎的代数 >

((2x-a))/b =((2x-b))/a

解答

\frac{( 2 x - a )}{b} = \frac{( 2 x - b )}{a}

解答

x = \frac{a + b}{2}; b \neq = 0, a \neq = 0, a \neq = b

求解步骤

\frac{( 2 x - a )}{b} = \frac{( 2 x - b )}{a}

使用分式交叉相乘: 若

\frac{a}{b} = \frac{c}{d}

则

a \cdot d = b \cdot c

(2 x - a) a = b (2 x - b)

展开

(2 x - a) a : 2 a x - a^{2}

展开

b (2 x - b) : 2 b x - b^{2}

2 a x - a^{2} = 2 b x - b^{2}; b \neq = 0, a \neq = 0

将

a^{2}

到右边

2 a x = 2 b x - b^{2} + a^{2}; b \neq = 0, a \neq = 0

将

2 b x

para o lado esquerdo

2 a x - 2 b x = - b^{2} + a^{2}; b \neq = 0, a \neq = 0

分解

2 a x - 2 b x : 2 x (a - b)

2 x (a - b) = - b^{2} + a^{2}; b \neq = 0, a \neq = 0

两边除以

2 (a - b); b \neq = 0, a \neq = 0, a \neq = b

x = \frac{a + b}{2}; b \neq = 0, a \neq = 0, a \neq = b

作图

流行的例子

2 x + 2 b = a

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