Ответ: x₁=7 x₂=166.
Объяснение:
1.
(3x-1)/5-(5x+1)/6-(x+1)/8+3 |×120
24*(3x-1)-20*(5x+1)-15*(x+1)+3*120=72x-24-100x-20-15x-15+360=
=-43x+301=-43*(x-7).
⇒ -43*(x-7)/120.
2.
(5x+1)/3-(16-x)/6-(9x+1)/5-3 |×30
10*(5x+1)-5*(16-x)-6*(9x+1)-90=50x+10-80+5x-54x-6-90=x-166.
⇒ (x-166)/30.
3.
-43*(x-7)*(x-166/(120*30)=0
(-43/360)*(x-7)*(x-166)=0 |÷(-43/360)
(x-7)*(x-166)=0
x₁=7 x₂=166.
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Verified answer
Ответ: x₁=7 x₂=166.
Объяснение:
1.
(3x-1)/5-(5x+1)/6-(x+1)/8+3 |×120
24*(3x-1)-20*(5x+1)-15*(x+1)+3*120=72x-24-100x-20-15x-15+360=
=-43x+301=-43*(x-7).
⇒ -43*(x-7)/120.
2.
(5x+1)/3-(16-x)/6-(9x+1)/5-3 |×30
10*(5x+1)-5*(16-x)-6*(9x+1)-90=50x+10-80+5x-54x-6-90=x-166.
⇒ (x-166)/30.
3.
-43*(x-7)*(x-166/(120*30)=0
(-43/360)*(x-7)*(x-166)=0 |÷(-43/360)
(x-7)*(x-166)=0
x₁=7 x₂=166.