Question

The number of solutions of the equation √x+1-√x-1=√4x-1 is
​

Answer 1

Answer:

,

x+1

−

x−1

=

4x−1

⇒x+1+x−1−2

x+1

x−1

=4x−1

⇒−2

x

2

−1

=2x−1

⇒4x

2

−4=4x

2

+1−4x

⇒4x=−5⇒x=−

4

5

But for x=−

4

5

x+1

,

x−1

,

4x−1

Answer 2

Answer:

1/4

Step-by-step explanation:

squaring on both sides

we get,

x+1- (x- 1)=4x-1

x+1- x+1=4x- 1

0=4x- 1

- 4x= - 1

both minus signs cancel

then, 4x=1

x=1/4