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受欢迎的代数 >

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

解答

\frac{x - a}{b} + \frac{x - b}{a} = \frac{2 x}{ab}

解答

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

求解步骤

\frac{x - a}{b} + \frac{x - b}{a} = \frac{2 x}{ab}

乘以最小公倍数

a (x - a) + b (x - b) = 2 x; ab \neq = 0

乘开

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

a x - a^{2} + b (x - b) = 2 x

乘开

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

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

将

a^{2}

到右边

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

将

b^{2}

到右边

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

将

2 x

para o lado esquerdo

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

分解

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

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

两边除以

a + b - 2; ab \neq = 0, a \neq = - b + 2

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

作图

流行的例子

solvefor x,2x+2y=40

so l v e f or x, 2 x + 2 y = 40

\frac{3}{a} x - 4 = 20

2+4(x-1)=3(x-6)+4

2 + 4 (x - 1) = 3 (x - 6) + 4

8 y - 9 = 2 y - 27

solvefor x, 1/2 x-6y=-12

so l v e f or x, \frac{1}{2} x - 6 y = - 12