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Кнопка130598
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July 2022
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Помогите решить
|х2-9|+|х-2|=5
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Verified answer
|х2-9|+|х-2|=5
1) х
²-9+х-2=5
х²+х-11-5=0
х²+х-16=0
D=b²-4ac=1+64=65
x1=-b+√D/2a=-1+√65/2
x2=-1-√65/2
2) -х²+9+х-2=5
-х²+х+7-5=0
-х²+х+2=0
х²-х-2=0
D=b²-4ac=1+8=9
x1=-b+√D/2a=1+3/2=4/2=2
x2=-b-√D/2a=1-3/2=-2/2=-1
3) x²-9-x+2=5
x²-x-7-5=0
x²-x-12=0
D=b²-4ac=1+48=49
x1=-b+√D/2a=1+7/2=8/2=4
x2=-b-√D/2a=1-7/2=-6/2=-3
4) -x²+9-x+2=5
-x²-x+11-5=0
-x²-x+6=0
x²+x-6=0
D=b²-4ac=1+24=25
x1=-b+√D/2a=-1+5/2=4/2=2
x2=-b-√D/2a=-1-5/2=-6/2=-3
Ответ: х1=-1+√65/2, х2=-1-√65/2, х3=2, х4=-1, х5=4, х6=-3
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Answers & Comments
Verified answer
|х2-9|+|х-2|=51) х²-9+х-2=5
х²+х-11-5=0
х²+х-16=0
D=b²-4ac=1+64=65
x1=-b+√D/2a=-1+√65/2
x2=-1-√65/2
2) -х²+9+х-2=5
-х²+х+7-5=0
-х²+х+2=0
х²-х-2=0
D=b²-4ac=1+8=9
x1=-b+√D/2a=1+3/2=4/2=2
x2=-b-√D/2a=1-3/2=-2/2=-1
3) x²-9-x+2=5
x²-x-7-5=0
x²-x-12=0
D=b²-4ac=1+48=49
x1=-b+√D/2a=1+7/2=8/2=4
x2=-b-√D/2a=1-7/2=-6/2=-3
4) -x²+9-x+2=5
-x²-x+11-5=0
-x²-x+6=0
x²+x-6=0
D=b²-4ac=1+24=25
x1=-b+√D/2a=-1+5/2=4/2=2
x2=-b-√D/2a=-1-5/2=-6/2=-3
Ответ: х1=-1+√65/2, х2=-1-√65/2, х3=2, х4=-1, х5=4, х6=-3