((x-b))/((x-a))+((x-a))/((b-a))=1

解答

\frac{( x - b )}{( x - a )} + \frac{( x - a )}{( b - a )} = 1

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

求解步骤

\frac{( x - b )}{( x - a )} + \frac{( x - a )}{( b - a )} = 1

乘以最小公倍数

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

解

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

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

\frac{8 x ^{3}}{2 \cdot x ^{- 5}} = 4 x^{8}

\frac{( 25 )}{1.5} = \frac{50}{a}

x + \frac{1}{x} = 3, x + \frac{1}{( x )}

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

\frac{27}{3 ( p + 120 )} = \frac{37}{9 ( p - 20 )}