x²-150x+4400=0求因式分解的方法
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x” - 150x + 4400 = 0,
x” - 75(2x) + 75” - 5625 + 4400 = 0,
( x - 75 )” - 1225 = 0,
( x - 75 )” - 35” = 0,
( x - 75 + 35 )( x - 75 - 35 ) = 0,
( x - 40 )( x - 110 ) = 0,
或者
x” - 40x - 110x + 4400 = 0,
x( x - 40 ) - 110( x - 40 ) = 0,
( x - 40 )( x - 110 ) = 0,
或者
x” - 110x - 40x + 4400 = 0,
x( x - 110 ) - 40( x - 110 ) = 0,
( x - 40 )( x - 110 ) = 0,
解方程得,
x1 = 40,
x2 = 110,
x” - 75(2x) + 75” - 5625 + 4400 = 0,
( x - 75 )” - 1225 = 0,
( x - 75 )” - 35” = 0,
( x - 75 + 35 )( x - 75 - 35 ) = 0,
( x - 40 )( x - 110 ) = 0,
或者
x” - 40x - 110x + 4400 = 0,
x( x - 40 ) - 110( x - 40 ) = 0,
( x - 40 )( x - 110 ) = 0,
或者
x” - 110x - 40x + 4400 = 0,
x( x - 110 ) - 40( x - 110 ) = 0,
( x - 40 )( x - 110 ) = 0,
解方程得,
x1 = 40,
x2 = 110,
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