Question

5 (1/2)²+4(2/√3)²-(1)²
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(1/2)² + (√3/2)²​

Answer 1

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Given 22x +8+1 = 32. 2x => 28.22x +1 = 32. 2x

=> 256. (2x)² -32. 2x +1 = 0

Putting 2x = t, we get, 256 t² -32t +1 = 0

=> t = [-(-32) + (- 32)² -4 (256)(1)]/[2 (256)] = (32 ± 0)/512 = 1/16, 1/16

But t = 2x. Hence 2x = t = 1, 1 = 2-4, 2-4

=> x = -4, -4

Hence the solution of the given equation is x = -4

Answer 2

Step-by-step explanation:

Given 22x +8+1 = 32. 2x => 28.22x +1 = 32. 2x

=> 256. (2x)² -32. 2x +1 = 0

Putting 2x = t, we get, 256 t² -32t +1 = 0

=> t = [-(-32) + (- 32)² -4 (256)(1)]/[2 (256)] = (32 ± 0)/512 = 1/16, 1/16

But t = 2x. Hence 2x = t = 1, 1 = 2-4, 2-4

=> x = -4, -4

Hence the solution of the given

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