find the square root of (x² + 3x + 7 ) ( x² + 5x + 3) +( x- 2)²
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Answer:
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
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Answered by
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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 equation is x = -4
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