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марина1118
@марина1118
July 2022
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Помогите пожалуйста!!!!! Умоляю!!!
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sedinalana
1
(x-2)/(x+4)≥2
(x-2)/(x+4)-2≥0
(x-2-2x-8)/(x+4)≥0
(-x-10)/(x+4)≥0
(x+10)/(x+4)≤0
x=-10,x=-4
+ _ +
--------[-10]-----------------(-4)-------------
x∈[-10;-4)
2
(x-1)/(x+5)≤3
(x-1)/(x+5)-3≤0
(x-1-3x-15)/(x+5)≤0
(-2x-16)/(x+5)≤0
2(x+8)/(x+5)≥0
x=-8,x=-5
+ _ +
-----[-8]------------------------(-5)---------------
x∈(-∞;-8] U [-5;∞)
3
(x²+3x+4)(x²+3x+9)=266
x²+3x+4=t
t(t+5)-266=0
t²+5t-266=0
t1+t2=-5 U t1*t2=-266
t1=-19⇒x²+3x+4=-19
x²+3x+23=0
D=9-92=-83<0 нет решения
t2=14⇒x²+3x+4=14
x²+3x-10=0
x1+x2=-3 U x1*x2=-10
x1=-5 U x2=2
0 votes
Thanks 1
oganesbagoyan
t²+5t-266=0 разве не лучше сразу написать t₁= -19 , t₂ =14 чем -266 = -2*133 = -2* 7*19 = (-19)*14
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Answers & Comments
(x-2)/(x+4)≥2
(x-2)/(x+4)-2≥0
(x-2-2x-8)/(x+4)≥0
(-x-10)/(x+4)≥0
(x+10)/(x+4)≤0
x=-10,x=-4
+ _ +
--------[-10]-----------------(-4)-------------
x∈[-10;-4)
2
(x-1)/(x+5)≤3
(x-1)/(x+5)-3≤0
(x-1-3x-15)/(x+5)≤0
(-2x-16)/(x+5)≤0
2(x+8)/(x+5)≥0
x=-8,x=-5
+ _ +
-----[-8]------------------------(-5)---------------
x∈(-∞;-8] U [-5;∞)
3
(x²+3x+4)(x²+3x+9)=266
x²+3x+4=t
t(t+5)-266=0
t²+5t-266=0
t1+t2=-5 U t1*t2=-266
t1=-19⇒x²+3x+4=-19
x²+3x+23=0
D=9-92=-83<0 нет решения
t2=14⇒x²+3x+4=14
x²+3x-10=0
x1+x2=-3 U x1*x2=-10
x1=-5 U x2=2