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Find the value of xxx satisfying the equation 3x+5−x−2=3. \sqrt{ 3\sqrt{x+5} - \sqrt{x-2} } = 3. 3x+5−x−2=3.
Details and assumptions
If the square root signs are not displaying clearly for you, the equation is equivalent to
[3(x+5)12−(x−2)12]12=3. [3 ( x + 5 ) ^{\frac{1}{2}} - (x-2) ^\frac{1}{2} ]^\frac{1}{2} = 3. [3(x+5)21−(x−2)21]21=3.
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