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人気のある代数 >

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

解

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

解

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

解答ステップ

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

LCMで乗じる

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

拡張

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

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

拡張

b x (b + a) : b^{2} x + ba x

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

類似した元を足す:

- b^{2} x + b^{2} x = 0

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

拡張

ba (a - b) : b a^{2} - b^{2} a

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

因数

a^{2} x + ba x : a x (a + b)

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

以下で両辺を割る

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

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

グラフ

人気の例

solvefor x,4x-6y=9

so l v e f or x, 4 x - 6 y = 9

solvefor x,x-3y-5=12

so l v e f or x, x - 3 y - 5 = 12

11 + \frac{6 - x}{2} = 26

5n+5=20(4+0.25n)

5 n + 5 = 20 (4 + 0.25 n)

solvefor r,r(x)=(x^2-9)/(x+b)

so l v e f or r, r (x) = \frac{x ^{2} - 9}{x + b}