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angella73
@angella73
July 2022
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4^x-5*2^x+4=0 решение уравнений
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ShirokovP
Verified answer
4^x - 5*2^x + 4 = 0
2^x = t
t^2 - 5t + 4 = 0
D = 25 - 16 = 9
t1 = (5 + 3)/2 = 8/2 = 4;
t2 = (5 - 3)/2 = 2/2 = 1;
2^x = 4
2^x = 2^2
x = 2
2^x = 1
2^x = 2^0
x = 0
2 votes
Thanks 1
sedinalana
Verified answer
2^2x -5*2^x+4=0
2^x=a
a²-5a+4=0
a1+a2=5 U a1*a2=4
a1=1⇒2^x=1⇒x=0
a2=4⇒2^x=4⇒x=2
Ответ x=0;x=2
2 votes
Thanks 1
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Answers & Comments
Verified answer
4^x - 5*2^x + 4 = 02^x = t
t^2 - 5t + 4 = 0
D = 25 - 16 = 9
t1 = (5 + 3)/2 = 8/2 = 4;
t2 = (5 - 3)/2 = 2/2 = 1;
2^x = 4
2^x = 2^2
x = 2
2^x = 1
2^x = 2^0
x = 0
Verified answer
2^2x -5*2^x+4=02^x=a
a²-5a+4=0
a1+a2=5 U a1*a2=4
a1=1⇒2^x=1⇒x=0
a2=4⇒2^x=4⇒x=2
Ответ x=0;x=2