Help ASAP!!! Please show all work!!!!!!!
2 answers:

Step-by-step explanation:
<h2>Given that :</h2>
<h2>to find :</h2>
<h2>explanation :</h2>
⟼ 
⟼ √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
<h3>
When x = -3 the original equation √x+7-1 = x does not hold true. We will drop x = -3 from the solution set. </h3>
Therefore,
⟼ x = 2.
<h2>
verification :</h2>
⟼ let take x = 2
⟼ 
⟼ √2+7 - 1 = 2
⟼ √9 - 1 = 2
⟼ 3 - 1 = 2
⟼ 2 = 2
<h2>hence verified ☑️</h2>
Answer:
x = 2 and x = -3
Step-by-step explanation:
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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