Question

解方程：x+3分之x+1=5分之2；2x-5分之x-5-2x分之5=1；2x-4分之5x-4=3x-6分之2x+5-2分之1

Answer 1

解：(1)方程两边同乘x+3得5(x+1)=2(x+3).5x+5=2x+6.5x-2x=6-5.x=1/3.(2)方乘两边同乘2x(2x-5)得x-5+25=2x.-x=-25+5.x=20.(3)方程两边同乘(2x-4)(3x-6)得5x-4(3x-6)=2x+5(2x-4)-3x-6-2(2x+5).5x-12x+24=2x+10x-20-3x-6-4x-10.进行合并：-12x-10x+5x+4x+3x-2x=-24-20-10-6.

Answer 2

x+(x+1)/3 =2/5
3x+(x+1)=6/5 (方程两边同乘以3)
4x=1/5
x=1/20

(x-5)/(2x-5) - 5/2x =1
(x-5) - 5 (2x-5)=2x(2x-5)
x-5-10x+25=4x�0�5 -10x
-9x+20=4x�0�5 -10x
4x�0�5-x-20=0
4(x�0�5-x/4-5)=0
x�0�5-x/4+1/64-1/64-5=0
(x-1/8)�0�5=1/64+5
x=1/8 ± √321/ 8
x=（1± √321）/8