人教版初中九年级数学上册第一单元一元二次方程综合练习题14Word格式.docx
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人教版初中九年级数学上册第一单元一元二次方程综合练习题14Word格式.docx
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7x2-2x-—=05x2-5x-4=0
x2-2
x+6=02x2-10=6x2+1x
五、用公式法解下列方程。
x2-x+4=0x2+4x-9=8x-7
x2-5
x-4=0x(x+1)=9-8x
x2-15x=0x2-4
x+10=0
六、用因式分解法解下列方程。
3x2+6x=-349x2-64=0
3x(x+3)=5(x+3)(5x+5)2=(9+6x)2
七、求下列方程两个根的和与积。
x2-x+7=59x2+2x+7=0
9x2-8x=x+59x2-7=3x-5
4x2-225=0(x+6)2=25
49x2=121x2+2x+1=64
(1)x2+4x+____=(x+____)2
(2)x2+4x+____=(x+____)2
(3)x2+—x+____=(x+____)2
(4)25x2+60x+____=(5x+____)2
x2-20x+44=05x2+10x-18=0
13
x2+x-—=05x2-x-7=0
4x2+6x-—=016x2+20x-36=0
x2+5
x-5=04x2-9=6x2-1x
x2+x+1=0x2+3x-3=9x-7
x2+2
x-9=0x(x+7)=7+5x
x2-2x=0x2+4
x-2=0
5x2-10x=-54x2-25=0
6x(x+1)=6(x+1)(x+4)2=(6-4x)2
x2+2x+9=19x2-x+1=0
5x2-x=4x-17x2-2=x+7
100x2-400=0(x+1)2=49
64x2=16x2-4x+4=49
(1)x2+8x+____=(x+____)2
(2)x2+5x+____=(x+____)2
2
(4)4x2+28x+____=(2x+____)2
x2-18x+22=04x2-8x-11=0
15
x2-x-—=02x2-x-8=0
1
4x2-4x-—=015x2-15x-40=0
x-8=02x2-6=6x2+8x
x2+x+5=0x2-5x-2=7x-10
x2+4
x-8=0x(x-6)=8+9x
x2+16x=0x2+6
2x2-4x=-281x2-100=0
5x(x+3)=5(x+3)(x-5)2=(7+3x)2
x2+9x-8=185x2-9x+1=0
3x2-5x=6x-1x2+1=x-5
9x2-361=0(x-7)2=64
64x2=1x2+14x+49=100
(1)x2-16x+____=(x-____)2
(2)x2+3x+____=(x+____)2
6
(4)9x2-18x+____=(3x-____)2
x2-16x+44=05x2+10x-19=0
x2-x-—=04x2-x-2=0
7x2+4x-—=06x2-15x-24=0
x2+3
x+8=04x2-5=8x2-8x
x2+x-6=0x2+5x-5=7x-10
x-1=0x(x-3)=5-9x
x2-12x=0x2+3
x-1=0
5x2-10x=-59x2-144=0
2x(x+9)=4(x+9)(6x+9)2=(1-x)2
x2-9x+7=207x2+x-2=0
x2-x=x-74x2+4=6x+9
16x2-100=0(x+4)2=25
16x2=324x2+8x+16=25
(1)x2+10x+____=(x+____)2
(2)x2-8x+____=(x-____)2
8
7
(4)4x2+20x+____=(2x+____)2
x2-20x+81=03x2+6x-12=0
19
x2-x-—=04x2-x-4=0
6x2-6x-—=018x2-24x-6=0
x2-6
x-5=02x2+9=8x2+6x
x2+x+7=0x2+5x-6=9x+4
x-8=0x(x-5)=1-8x
x2+4x=0x2+6
x-10=0
6x2+36x=-5425x2-49=0
5x(x-6)=6(x-6)(6x+5)2=(1-x)2
x2-7x+9=19x2-6x+6=0
x2-5x=x-1x2-8=8x-1
9x2-9=0(x+2)2=49
36x2=144x2+12x+36=1
(1)x2-12x+____=(x-____)2
(2)x2-3x+____=(x-____)2
(4)16x2+48x+____=(4x+____)2
x2-12x+30=04x2-8x-7=0
x2+x-—=06x2+x-9=0
4x2-9x-—=035x2-28x-21=0
x2+6
x-1=04x2-7=9x2+8x
x2-x+6=0x2-5x-2=8x+8
x2-3
x-5=0x(x+6)=6-5x
x2+8x=0x2+6
x+7=0
3x2+12x=-1264x2-64=0
5x(x-1)=3(x-1)(3x-1)2=(5-x)2
x2-x+5=17x2+9x-9=0
x2+x=x-74x2-3=2x-6
100x2-9=0(x+5)2=49
9x2=400x2-6x+9=100
(1)x2-18x+____=(x-____)2
(4)9x2-54x+____=(3x-____)2
x2+12x+32=05x2+10x-2=0
x2+x-—=02x2+x-9=0
7x2+4x-—=024x2-30x-6=0
x-7=02x2+2=6x2-3x
x2-x+3=0x2+4x-2=8x+2
x2-4
x-5=0x(x+3)=2+4x
x2+14x=0x2-2
x-8=0
4x2+24x=-364x2-1=0
3x(x-7)=2(x-7)(4x-7)2=(3-6x)2
x2-7x-7=183x2-6x-2=0
x2+3x=x+1x2+5=7x+2
81x2-36=0(x-4)2=4
25x2=169x2-16x+64=4
(2)x2+7x+____=(x+____)2
(4)25x2-50x+____=(5x-____)2
x2+4x+1=02x2-4x-12=0
x2-x-—=05x2-x-7=0
7x2+6x-—=03x2-2x-2=0
x-1=04x2+4=7x2+6x
x2+x+3=0x2-3x-7=9x+5
x-7=0x(x+3)=9-9x
x2+4x=0x2-2
x+8=0
3x2+6x=-39x2-81=0
2x(x+2)=2(x+2)(x-5)2=(5-x)2
x2+x-9=58x2-8x-7=0
9x2-x=5x-34x2-7=6x+9
81x2-81=0(x-2)2=81
36x2=225x2-18x+81=49
(4)25x2-10x+____=(5x-____)2
x2-16x+41=02x2+4x-6=0
x2+x-—=05x2+x-3=0
7x2-8x-—=018x2-15x-12=0
x+3=03x2+3=6x2+4x
x2+x-5=0x2-5x-5=7x-9
x-2=0x(x-9)=8+4x
x2+3x=0x2-6
x+6=0
4x2+24x=-3636x2-289=0
2x(x-8)=6(x-8)(9x-4)2=(7+3x)2
x2+7x-7=74x2+x+7=0
x2+4x=2x+5x2-4=x-9
16x2-400=0(x-9)2=36
36x2=49x2+8x+16=25
(1)x2-8x+____=(x-____)2
(2)x2+2x+____=(x+____)2
x2+16x+25=04x2-8x-7=0
11
四、利用判别式判断下列方程的根
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