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YesKinder
@YesKinder
June 2022
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selmash21
!/ это знак корня
1.
3х+1-2!/(3х+1)(17-х) +17-х=4
2х+18-2!/(51х-3х^2+17-х)=4
2!/(-3х^2+50х+17)=2х+18-4
2!/(-3х^2+50х+17)=2х+14
!/(-3х^2+50х+17)=х+7
-3х^2+50х+17=(х+7)^2
-3х^2+50х+17=х^2+14х+49
-3х^2+50х+17-х^2-14х-49=0
-4х^2+36х-32=0
х^2-9х+8=0
д=81-4×1×8=49
х1=(9-7)/2=1
х2=(9+7)/2=8
2.
!/(х-2)=а
!/(у+2)=б
{а+б=8
{аб=15
а=8-б
(8-б)×б=15
-б^2+8б-15=0
б^2-8б+15=0
д=64-4×1×15=4
б1=(8-2)/2=3
б2=(8+2)/2=5
а1=8-б1=8-3=5
а2=8-5=3
!/(х-2)=а1
!/(х-2)=5
х-2=25
х1=27
!/(х-2)=а2
!/(х-2)=3
х-2=9
х2=11
!/(у+2)=б1
!/(у+2)=3
у+2=9
у1=7
!/(у+2)=б2
!/(у+2)=5
у+2=25
у2=23
(27;7)(11;23)
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Answers & Comments
1.
3х+1-2!/(3х+1)(17-х) +17-х=4
2х+18-2!/(51х-3х^2+17-х)=4
2!/(-3х^2+50х+17)=2х+18-4
2!/(-3х^2+50х+17)=2х+14
!/(-3х^2+50х+17)=х+7
-3х^2+50х+17=(х+7)^2
-3х^2+50х+17=х^2+14х+49
-3х^2+50х+17-х^2-14х-49=0
-4х^2+36х-32=0
х^2-9х+8=0
д=81-4×1×8=49
х1=(9-7)/2=1
х2=(9+7)/2=8
2.
!/(х-2)=а
!/(у+2)=б
{а+б=8
{аб=15
а=8-б
(8-б)×б=15
-б^2+8б-15=0
б^2-8б+15=0
д=64-4×1×15=4
б1=(8-2)/2=3
б2=(8+2)/2=5
а1=8-б1=8-3=5
а2=8-5=3
!/(х-2)=а1
!/(х-2)=5
х-2=25
х1=27
!/(х-2)=а2
!/(х-2)=3
х-2=9
х2=11
!/(у+2)=б1
!/(у+2)=3
у+2=9
у1=7
!/(у+2)=б2
!/(у+2)=5
у+2=25
у2=23
(27;7)(11;23)