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bebe86
@bebe86
September 2021
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Решите неравенство
[tex]log _{x} \frac{15x+17}{2(5-4x)}<-1 [/tex]
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Гоша68
Verified answer
X>1 (15x+17)/2(5-4x)-1/x<0
(15x^2+17x-10+8x)/2x(5-4x)<0
(3x^2+5x-2)/x(5-4x)<0
(1;1/3) U (5/4;беск.)
0<х<1
(15x+17)/2(5-4x)-1/x>0
(x+2)(3x-1)/x(5-4x)>0
(1;1/3) U (5/4;беск.)
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Answers & Comments
Verified answer
X>1 (15x+17)/2(5-4x)-1/x<0(15x^2+17x-10+8x)/2x(5-4x)<0
(3x^2+5x-2)/x(5-4x)<0
(1;1/3) U (5/4;беск.)
0<х<1
(15x+17)/2(5-4x)-1/x>0
(x+2)(3x-1)/x(5-4x)>0
(1;1/3) U (5/4;беск.)