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katnisseverdeen97
@katnisseverdeen97
July 2022
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2/3•9^х+1/2 +9^х -3=0 решите плизз
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rima134
2/3*9^(x+1/2)+9^x/2-3=0 2/3*9^x*9^1/2+(3^2)^x/2-3=0 2/3*9^x*9^1/2+3^(2x/2)-3=0
2/3*3^2x*3+3^x-3=0 2* 3^2x+3^x-3=0 3^x=t 2t^2+t-3=0 d=1+24=25 v d=5
t1=-1-5/4=-6/4=-3/2 t2=-1+5/4=4/4=1 =>3^x=-3/2 не удовлетворяет одз т.к. 3:^x>0
3^x=1 x=0
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Answers & Comments
2/3*3^2x*3+3^x-3=0 2* 3^2x+3^x-3=0 3^x=t 2t^2+t-3=0 d=1+24=25 v d=5
t1=-1-5/4=-6/4=-3/2 t2=-1+5/4=4/4=1 =>3^x=-3/2 не удовлетворяет одз т.к. 3:^x>0
3^x=1 x=0