- Home
- Standard 11
- Mathematics
4-2.Quadratic Equations and Inequations
medium
સમીકરણ ${x^{{{\log }_x}{{(1 - x)}^2}}} = 9\,\,$ નો ઉકેલગણ.......છે.
A
$\{- 2, 4\}$
B
$\{4\}$
C
$\{0, - 2, 4\}$
D
એકપણ નહી.
Solution
${x^{{{\log }_x}(1 – x)}}^2 = 9\,\,$ આપેલ છે.
$ \Rightarrow \,\,{\log _x}(9) = {\log _x}{(1 – x)^2}$
$({a^x} = N\,\,\, \Rightarrow {\log _a}N = x)$
$ \Rightarrow \,9 = {(1 – x)^2}$
$ \Rightarrow 1 + {x^2} – 2x – 9 = 0$
$ \Rightarrow {x^2} – 2x – 8 = 0$ $ \Rightarrow \,\,(x + 2)(x – 4) = 0$
$ \Rightarrow \,x = – 2\,,4$
Standard 11
Mathematics
