(5*11x-10)/(11x)=(5×7x+10)/(7x+4)(5*11x-10)/(11x)=(5×7x+10)/(7x+4)
问题描述:
(5*11x-10)/(11x)=(5×7x+10)/(7x+4)
(5*11x-10)/(11x)=(5×7x+10)/(7x+4)
答
(5*11x-10)/(11x)=(5×7x+10)/(7x+4)
两边同乘以11x×(7x+4)
(7x+4)(55x-10)=11x×(35x+10)
385x²+150x-40=385x²+110x
150x-110x=40
40x=40
x=1
答
提取公因式得 [ 5 ( 11x - 2 ) ] / ( 11x ) = [ 5 ( 7x + 2 ) ] / ( 7x + 4 )
两边同除 5 得 ( 11x - 2 ) / ( 11x ) = ( 7x + 2 ) / ( 7x + 4 )
去分母得 ( 11x - 2 )( 7x + 4 ) = ( 7x + 2 )( 11x )
去括号得 77x² + 44x - 14x - 8 = 77x² + 22x
化简得 x = 1