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Sagot :
The square root of the quantity x plus 7 end quantity minus 1 equals x=2.
What is square root?
- A number's square root is the factor that can be multiplied by itself to yield that number.
- Square root of, end square root is the symbol for square root.
- Finding an integer's square root is the inverse of squaring a number.
To find the square root:
- √(x + 7) − 1 = x
- √(x + 7) = x + 1
- x + 7 = (x + 1)²
- x + 7 = x² + 2x + 1
- 0 = x² + x − 6
- 0 = (x + 3) (x − 2)
- x = -3 or 2
Check for extraneous solutions:
- √(-3 + 7) − 1 = -3
- √4 − 1 = -3
- 2 − 1 = -3
- 1 = -3
- x ≠ -3
- √(2 + 7) − 1 = 2
- √9 − 1 = 2
- 3 − 1 = 2
- 2 = 2
- x = 2
Therefore, the square root of the quantity x plus 7 end quantity minus 1 equals x = 2.
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The correct question is given below:
The square root of the quantity x plus 7 end quantity minus 1 equals x
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