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4-2.Quadratic Equations and Inequations
easy
$\{ x \in R:|x - 2|\,\, = {x^2}\} = $
A
$\{ -1, 2\}$
B
$\{1, 2\}$
C
$\{ -1, -2\}$
D
$\{1, -2\}$
Solution
(d) $|x – 2|\, = {x^2}$$ \Rightarrow x – 2 = {x^2}$ या $2 – x = {x^2}$
$ \Rightarrow {x^2} – x + 2 = 0$ या ${x^2} + x – 2 = 0$ $ \Rightarrow {x^2} + x – 2 = 0$
[$\because {x^2} – x + 2 = 0$ कोई भी वास्तविक मूल नहीं देता है]
$ \Rightarrow (x + 2)(x – 1) = 0\,\,\, \Rightarrow x = – 2,\,1$.
Standard 11
Mathematics
