Complex Numbers And Quadratic Equations question 752
Question: $ {x\in R:|x-2|=x^{2}}= $ [EAMCET 2000]
Options:
A) { - 1, 2}
B) {1, 2}
C) { - 1, - 2}
D) {1, - 2}
Show Answer
Answer:
Correct Answer: D
Solution:
$ |x-2|=x^{2} $
$ \Rightarrow x-2=x^{2} $ or $ 2-x=x^{2} $
$ \Rightarrow x^{2}-x+2=0 $ or $ x^{2}+x-2=0 $
$ \Rightarrow x^{2}+x-2=0 $ $ [\because x^{2}-x+2=0 $ does not gives any real root]
$ \Rightarrow (x+2)(x-1)=0\Rightarrow x=-2,1 $ .
BETA
