解方程 20/x+12 +x+ 2/x+32 =1

2个回答

  • 20/(x+12) + (x+2)/(x+32) =1

    分母不为零,所以x+12≠0,x+32≠0,即x≠-12,x≠-32

    两边同乘以(x+12)(x+32):

    20(x+32) + (x+2)(x+12) = (x+12)(x+32)

    20(x+32) + (x+2)(x+12) - (x+12)(x+32) = 0

    20(x+32) + (x+12)(x+2-x-32) = 0

    20(x+32) -30 (x+12) = 0

    20x+640-30x-360 = 0

    -10x+280=0

    x = 28