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Simplify 10 times the square root of quantity 3 x end quantity plus 4 times the square root of quantity 3 x end quantity plus 5 times the square root of quantity 3 x end quantity. 9 times the square root of quantity 3 x end quantity 9 times the square root of quantity 6 x end quantity 19 times the square root of quantity 3 x end quantity 19 times the square root of quantity 9 x cubed

Respuesta :

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.

Know more about square roots here:

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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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