Выражение:
m+24-n
m=56; n=12
56+24-12=68
-0,5(3x-4)+15x=4(1.5x+1)+3
-1.5x+2+15x=6x+4+3
13.5x+2=6x+7
13.5x-6x=7-2
7.5x=5
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<span>Решить неравенство (2x^2+11x+6)(2x^2+11x+13)>8
</span><span>-----------------------------------
</span>(2x² +11x +6)(2<span>x² +11x +13) >8 ;
</span>обозначаем t =2x² +11x +6 <span>;
</span><span>t(t+7) > 8;
</span>t<span>² +7t -8>0;
</span>t<span>² -t +8t -8>0;
</span><span>t(t-1) +8(t-1) >0;
</span><span>(t+8)(t-1) >0 .
</span>t ∈( -∞; - 8) U (1;∞).
<span>
а) 2x² +11x +6 < -8 ;
</span><span>2x² +11x +14<0 ;
</span><span>2(x +7/2)(x+2) < 0;
</span><span>x∈( -7/2 ; -2) .
-----------------
</span><span>б) 2</span>x² +11x +6<span>> 1 </span><span>;
</span>2x² +11x +5 > 0 <span>;
</span>x<span>² +(5+1/2)x + 5*1/2 > 0;
</span><span>2(x+5)(x+1/2) >0 ;
</span>x∈(-∞; - 5) U (-1/2 ;∞) объединяя ( -7/2 ; -2) и (-∞; - 5) U (-1/2 ;∞) , получим :
ответ :x∈ (-∞; - 5) U ( -7/2 ; -2) U (-1/2 ;∞).
27m^2/75m*n^2 и 20n/75m*n^2