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x=?

Expert replies
Source: — Problem Solving |

by theCEO » Thu Aug 09, 2012 3:31 pm
Are you sure there is the question? I think something is missing... maybe some brackets?
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by truplayer256 » Thu Aug 09, 2012 8:11 pm
Did you mean (4 - x)/(2 + x) = x ? If so, then:

(4 - x) = x(2 + x) => 4 - x = 2x + x^2 => x^2 + 3x - 4 = 0

Choose option 3.
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by adthedaddy » Thu Aug 09, 2012 8:42 pm
One thing to note overhere is that do not go ahead and start factorizing the eqn to find the roots.

Given that (4-x)/(2+x)=x gives x^2+3x-4=0
STOP --> This is the answer i.e. "Zero"

If you get ahead and factorize x^2+3x-4=0, you will get x=1 or x=-4 as roots.
To confuse you, both of the above roots are a part of the options.

Hence Zero (Option 3) is the answer.
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