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4-2.Quadratic Equations and Inequations
medium
જો $x = \sqrt {6 + \sqrt {6 + \sqrt {6 + ....{\rm{to}}\,\,\infty } } ,} $ તો,.........
A
$x$ એ અસંમેય સંખ્યા છે.
B
$2 < x < 3$
C
$x = 3$
D
એકપણ નહી.
Solution
$\,x = \sqrt {6 + x} ,$$x > 0\,\, $
$\Rightarrow {x^2} = 6 + x,x > 0$
$ \Rightarrow {x^2} – x – 6 = 0,\,x > 0$
$ \Rightarrow x = 3,x > 0$
Standard 11
Mathematics
