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Ankit Kumar Durgapal

· started a discussion

· 1 Months ago

unable to understand this question and also the method provided (Question: 66569.0 )

please explain the basic and then the short method

Question:
Sum of all the real roots of the equation \(|A-2|^2+|A-2|=0\) is:
Options:
A) 0
B) -4
C) 4
D) 2
Solution:

Ans: (c)


|A-2|2+|A-2|-2=0

Let |A-2|=x

x2+x-2=0

x=-2 or 1

Since the roots are real,

|A-2|=1

A=1 or 3

sum of the roots=1+3=4


Knowledge Expert

· commented

· 1 Months ago

Dear student
Going according to the given options
except option (c) all are giving a negative
number and unreal number.

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