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Anka86
@Anka86
July 2022
1
6
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Найдите наименьшее целое решение каждого неравенства. расположите полученные значения в порядке возрастания. 1)-х²+9х=>0 2)х+10/х-25<=0 3)49-х²>0
4) х/х+4<=0 5) х²-3х-10<=0 6)32-16х/х+8=>0
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yarovoe
1)-х²+9х=>0 ,x²-9x≤0, x(x-9)≤0 --------------------------------------->-
0 /////////////////////////9
x=0
2)х+10/х-25<=0 , (x+10)((x-25)≤0 --------------- -10------------------25------->
/////////////////////////
x=-10
3)49-х²>0 ,x²-49<0,(x-7)(x+7)<0 ------------- -7--------------------7------->
///////////////////////////
x=-6 4) х/х+4<=0,x(x+4)≤0, ------------------- 4-----------------0--------->
///////////////////////
x=-4
5) х²-3х-10<=0,D=9-4·(-10)=9+40=49,√D=7, x₁=(3+7)/2=5,x₂=(3-7)/2=-2
------------ 2---------------5------------>
x=-2 ////////////////////
6)32-16х/х+8=>0
(16x-32)(x+8)≤0, 16(x-2)(x+8)≤0 --------------- -8--------------------2-------->
x=-8 ///////////////////////////
Ответ:-10,-8,-6,-4,-2 ,0
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Answers & Comments
0 /////////////////////////9
x=0
2)х+10/х-25<=0 , (x+10)((x-25)≤0 --------------- -10------------------25------->
/////////////////////////
x=-10
3)49-х²>0 ,x²-49<0,(x-7)(x+7)<0 ------------- -7--------------------7------->
///////////////////////////
x=-6 4) х/х+4<=0,x(x+4)≤0, ------------------- 4-----------------0--------->
///////////////////////
x=-4
5) х²-3х-10<=0,D=9-4·(-10)=9+40=49,√D=7, x₁=(3+7)/2=5,x₂=(3-7)/2=-2
------------ 2---------------5------------>
x=-2 ////////////////////
6)32-16х/х+8=>0
(16x-32)(x+8)≤0, 16(x-2)(x+8)≤0 --------------- -8--------------------2-------->
x=-8 ///////////////////////////
Ответ:-10,-8,-6,-4,-2 ,0