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Lizuuuuuuunya
@Lizuuuuuuunya
March 2022
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Помогите решить!!!!Срочнооо!!!!!!
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sedinalana
Verified answer
0,25√(7+2x)≥0,25-x
√(7+2x)≥1-4x
7+2x≥0⇒x≥-3,5
1-4x≥0⇒x≤0,25
x∈[-3,5;0,25]
7+2x≥1-8x+16x²
16x²-10x-6≤0
8x²-5x-3≤0
D=25+96=121
x1=(5-11)/16=-3/8
x2=(5+11)/16=1
-3/8≤x≤1
Ответ x∈[-3/8;1]
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Answers & Comments
Verified answer
0,25√(7+2x)≥0,25-x√(7+2x)≥1-4x
7+2x≥0⇒x≥-3,5
1-4x≥0⇒x≤0,25
x∈[-3,5;0,25]
7+2x≥1-8x+16x²
16x²-10x-6≤0
8x²-5x-3≤0
D=25+96=121
x1=(5-11)/16=-3/8
x2=(5+11)/16=1
-3/8≤x≤1
Ответ x∈[-3/8;1]