Explanation:
⟼
⟼ √x + 7 = x + 1
⟼ x + 7 = x² + 2x + 1
⟼ x + 7 - x² - 2x - 1 = 0
⟼ -x + 6 -x² = 0
⟼ x² + x - 6 = 0
⟼ (x-2) (x+3) = 0
⟼ x = 2 and x = -3
Therefore,
⟼ x = 2.
⟼ let take x = 2
⟼ √2+7 - 1 = 2
⟼ √9 - 1 = 2
⟼ 3 - 1 = 2
⟼ 2 = 2
Answer:
x = 2 and x = -3
We need to find the value of x in the below expression.
Adding 1 to both sides,
Squaring both sides,
Hence, this is the required solution.
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