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THE VALUE OF X SATISFYING EQUATION X=(2+(2-(2+X)^1/2)^1/2)^1/2?

rahul khurana

16 Years agoGrade

1 Answer

Badiuddin askIITians.ismu Expert

16 Years ago

Dear rahul

X=(2+(2-(2+X)^1/2)^1/2)^1/2

x≥ 0 ................1

^square

x² =(2+(2-(2+X)^1/2)^1/2)

or

x² -2 =(2-(2+X)^1/2)^1/2

so x² -2≥0

so x≥2 or x ≤-2

from equation 1 x≥2

and RHS 2-(2+X)^1/2≥ 0

or x≤2

so only x=2 is possible

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