Question

解方程，要写过程，急

(x+6)/(x+5)+(x+10)/(x+9)=(x+7)/(x+6)+(x+9)/(x+8)

Answer 1

LZ打字太麻烦 我给你写下来 传图片吧

Answer 2

即1又1/（x+5）+1又1/（x+9）=1又1/（x+6）+1又1/（x+8）
1/（x+5）+1/（x+9）=1/（x+6）+1/（x+8）；1/（x+5）（x+6）=1/（x+8）（x+9），
（x+5）（x+6）=（x+8）（x+9），x方+11x+30=x方+17x+72，
x=负7

Answer 3

(x+6)/(x+5)+(x+10)/(x+9)=(x+7)/(x+6)+(x+9)/(x+8)
{(x+6)(x+9)+(x+10)(x+5)}/(x+5)(x+9)={(x+7)(x+8)+(x+9)(x+6)}/(x+6)(x+8)
(x+6)(x+9)(x+6)(x+8)+(x+10)(x+5)(x+6)(x+8)=(x+7)(x+8)(x+5)(x+9)+(x+9)(x+6)(x+5)(x+9)
(x2+15x+54)(x2+14x+48)+(x2+15x+50)(x2+14x+48)=(x2+15x+56)(x2+14x+45)+(x2+15x+54)(x2+14+45)
(x4+29x3+302x2+1476x+2592)+(x4+29x3+308x2+1420x+2400)=(x4+29x3+311x2+1459x+2520)+(x4+29x3+309x2+1431x+2430)
zx4+58x3+610x2+2896x+4992=zx4+58x3+620x2+2890x+4950
6x+42=10x2