数学难题----解方程
(5x-96)÷(x-19)+(x-8)÷(x-9)=(4x-19)÷(x-6)+(2x-21)÷(x-8)
请写明详细步骤
Ao
参考答案:(5x-96)/(x-19)+(x-8)/(x-9)=(4x-19)/(x-6)+(2x-21)/(x-8)
=>5+(-1)/(x-19)+1+(1)/(x-9)=4+(5)/(x-6)+2+(-5)/(x-8) -------拆分
=>(-1)/(x-19)+(1)/(x-9)=(5)/(x-6)+(-5)/(x-8) ---------------分步运算
=>(-10)/(x-19)(x-9)=(5)(-2)/(x-6)(x-8)
=>(x-19)(x-9)=(x-6)(x-8)
=>x^2-28x+19*9=x^2-14x+6*8
=>14x=123
x=123/14