Roots of Roots

Algebra Level 2

Find the value of xx satisfying the equation 3x+5−x−2=3. \sqrt{ 3\sqrt{x+5} - \sqrt{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.

Arron Kau by Arron Kau
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