The equation root(x+1) - root(x-1) = root(4x-1) has how many solutions?
The equation root(x+1) - root(x-1) = root(4x-1) has how many solutions?
Miss Pooja , 10 Years ago
Grade 12th pass
Most Scoring Topics in IIT JEE> The equation root(x+1) - root(x-1) = root...
1 AnswersArun Kumar
Last Activity: 10 Years ago
Hello Student,
root (x+1) -root(x-1)=root(4x-1)
squaring both sides, we get
x+1+x-1-2root(x^2-1)=4x-1
2x-2root(x^2-1)=4x-1
-2x+1=2root(x^2-1)
squaring again both sides
4x^2+1-4x=4(x^2-1)
4x^2+1-4x=4x^2-4
5=4x
x=5/4
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
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