Question

(√x-1)^2=8-√28 solution
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Answer 1

pls find the attached soln

Answer 2

answer is x = 7

it is given that, (√x - 1)² = 8 - √28

⇒(√x - 1)² = 8 - √(2 × 2 × 7)

[ we know, (a ± b)² = a² + b² ± 2ab

so, (√x - 1)² = (√x)² + 1² - 2(1)(√x) = x + 1 - 2√x ]

⇒(x + 1 - 2√x) = 8 - 2√7

⇒x + 1 - 2√x = 8 - 2√7

⇒x - 2√x = 8 - 1 - 2√7

⇒x - 2√x = 7 - 2√7

on comparing both sides, we get

x = 7

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