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Find the value of x in the following equation?

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Find the value of x in the following equation?

Value of x

posted Jan 26, 2016 by Pardeep Kohli

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1 Answer

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if,
root(x+1)-root(x-1)=root(4x-1)
squaring both sides,
(x+1)-2*root(x+1)(x-1)+(x-1)=4x-1.........by formula....[(a-b)^2=a^2-2ab+b^2]
2x+2-2*root(x+1)(x-1)=4x-1
1-2x=2*root(x+1)(x-1)
squaring again both sides,
1-4x+4x^2=4x^2-4
x=5/4
Check:
putting the value of x in given formula,
root(5/4+1)-root(5/4-1)=root[(4*5/4)-1]
1=2
which is not true.
so given equation has no solution.

answer Jan 26, 2016 by Jaikumar Bhatia



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