The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x...

The equation `sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)` has

A

(A) no solution

B

(B) one solution

C

(C) two solutions

D

(D) more than two solutions

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Number of real roots of the equation sqrt(x)+sqrt(x-sqrt((1-x)))=1 is

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

Find number of solutions of the equation sqrt((x+8)+2sqrt(x+7))+sqrt((x+1)-sqrt(x+7))=4

For the equation 2x^(2)-6sqrt(2)x-1=0

Evaluate the following integration int(dx)/(sqrt(x+1)-sqrt(x))

The value of x which satisfy the equation (sqrt(5x^2-8x+3))-sqrt((5x^2-9x+4))=sqrt((2x^2-2x))-sqrt((2x^2-3x+1)) is

Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then (a)domain of f(x) is x ge 1 (b)domain of f(x) is [1,infty)-{2} ?(c)f'(10)=1(d)f'(3/2)=-1

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Solve the equation (2+sqrt(3))^(x^(2)-2x+1)+(2-sqrt(3))^(x^(2)-2x-1)=101/(10(2-sqrt(3))

Solve the equation sqrt((2x^(2)+5x-2))-sqrt(2x^(2)-5x-9)=1