(X的平方+X)分之7+(X的平方-X)分之1等于(X的平方-1)分之6

问题描述:

(X的平方+X)分之7+(X的平方-X)分之1等于(X的平方-1)分之6

7/(X²+X) + 1/(X²-X) = 6/(X²-1)7/(X+1) + 1/(X-1) = 6X/(X²-1){ 7(X-1) + (X+1) } / (X²-1) = 6X/(X²-1)7(X-1) + (X+1) = 6X7X - 7 + X + 1 = 6X8X - 6 = 6X2X - 6 = 0X = 3