plzz answer no. ii in the following image through indices
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Here's the solution.
The answer is
x = 2 or x = -1
The answer is
x = 2 or x = -1
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2^(2x -1) - 9.2^(x -2) + 1 = 0
2^(2x)/2 - 9.2^x/4 +1 =0
2.(2^x)² - 9(2^x ) + 4 = 0
Let 2^x = P
2P² - 9P +4 = 0
2P² - 8P - P +4 = 0
2P ( P -4) -(P -4) = 0
(2P -1)(P -4) = 0
P = 1/2 and 4
2^x = 2² and 2^x = 2^-1
x = 2 and x = -1
2^(2x)/2 - 9.2^x/4 +1 =0
2.(2^x)² - 9(2^x ) + 4 = 0
Let 2^x = P
2P² - 9P +4 = 0
2P² - 8P - P +4 = 0
2P ( P -4) -(P -4) = 0
(2P -1)(P -4) = 0
P = 1/2 and 4
2^x = 2² and 2^x = 2^-1
x = 2 and x = -1
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