Question

解方程（x+2)(x+3)(x-4)(x-5)=144

Answer 1

（x+2)(x-4)=x^-2x-8=(x-1)^-9

(x+3)(x-5)=x^-2x-16=(x-1)^-16

设（x-1）^=y

(y-9)(y-16)=144

y^-25y+144=144

y=0或y=25

所以(x-1)^=0或（x-1)^=25

则x=1

或x=6或x=-4