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Ева1611
@Ева1611
December 2021
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wejde
Verified answer
1.
x²-6x+7/(x-5)=7/(x-5)-5/(-7/(x-5)
x≠5
x²-6x=-5
x²-6x+5=0
a+b+c=0 (1-6+5=0) ⇒ x=1; x=c/a=5, НО x=5 ∉ D(y)
Ответ: x=1
2.
(√x-3)(18x²-9x-5)=0
D(y): x≥0
1) √x-3=0
√x=3/()²
x=9
2) 18x²-9x-5=0
D=(-9)²+4*18*5=441=21²
x=(9+21)/2*18=30/38=15/19
x=(9-21)/2*18=-12/36=-1/3, НО x=-1/3 ∉ D(y)
Ответ: x=9; x=15/19
3.
(x²+16x)(√x-2)(x²+2x-24)=0
D(y): x≥0
1) x²+16x=0
x(x+16)=0
x=0; x=-16, НО x=-16 ∉ D(y)
2) √x-2=0
√x=2/()²
x=4
3) x²+2x-24=0
D=2²+4*24=100=10²
x=(-2+10)/2=8/2=4
x=(-2-10)/2=-12/2=-6, НО x=-6 ∉ D(y)
Ответ: х=0; x=4
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Answers & Comments
Verified answer
1.x²-6x+7/(x-5)=7/(x-5)-5/(-7/(x-5)
x≠5
x²-6x=-5
x²-6x+5=0
a+b+c=0 (1-6+5=0) ⇒ x=1; x=c/a=5, НО x=5 ∉ D(y)
Ответ: x=1
2.
(√x-3)(18x²-9x-5)=0
D(y): x≥0
1) √x-3=0
√x=3/()²
x=9
2) 18x²-9x-5=0
D=(-9)²+4*18*5=441=21²
x=(9+21)/2*18=30/38=15/19
x=(9-21)/2*18=-12/36=-1/3, НО x=-1/3 ∉ D(y)
Ответ: x=9; x=15/19
3.
(x²+16x)(√x-2)(x²+2x-24)=0
D(y): x≥0
1) x²+16x=0
x(x+16)=0
x=0; x=-16, НО x=-16 ∉ D(y)
2) √x-2=0
√x=2/()²
x=4
3) x²+2x-24=0
D=2²+4*24=100=10²
x=(-2+10)/2=8/2=4
x=(-2-10)/2=-12/2=-6, НО x=-6 ∉ D(y)
Ответ: х=0; x=4