解方程:(1)4x 2 -8x-5=0(用配方法)

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  • (1)4x 2-8x-5=0(用配方法)

    移项得:4x 2-8x=5,

    则x 2-2x=

    5

    4 ,

    x 2-2x+1=

    5

    4 +1,

    (x-1) 2=

    9

    4 ,

    x-1=±

    3

    2 ,

    x 1=

    5

    2 ;x 2=-

    1

    2 .

    (2)4x 2-25=0(用因式分解法)

    (2x+5)(2x-5)=0,

    解得:x 1=-2.5;x 2=2.5;

    (3)4(x-2) 2-120=1

    4(x-2) 2-121=0,

    [2(x-2)+11)][2(x-2)-11]=0,

    解得:x 1=-3.5;x 2=7.5;

    (4)x 2+x-6=0

    (x-2)(x+3)=0,

    解得:x 1=2;x 2=-3.