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Find the value of x : sqrt(x + 36) = 9

Mathematics

ScanSolve AI Answer

Answer

No real solution\text{No real solution}

Step-by-step solution

2 steps

To find the value of xx, we need to isolate xx in the given equation.

  1. Isolate the square root term.

    Subtract 36 from both sides of the equation:

    x+36=9\sqrt{x} + 36 = 9 x=9−36\sqrt{x} = 9 - 36 x=−27\sqrt{x} = -27
  2. Analyze the result.

    The principal square root of a real number cannot be negative. Since x\sqrt{x} must be greater than or equal to 0, and we have x=−27\sqrt{x} = -27, there is no real value of xx that satisfies this equation.

    Therefore, there is no real solution for xx.

    No real solution\text{No real solution}

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