Mister Exam

Other calculators

sqrt(x-2sqrt(x-1))+sqrt(x+2sqrt(x-1))=x-1 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
   _________________      _________________        
  /         _______      /         _______         
\/  x - 2*\/ x - 1   + \/  x + 2*\/ x - 1   = x - 1
$$\sqrt{x - 2 \sqrt{x - 1}} + \sqrt{x + 2 \sqrt{x - 1}} = x - 1$$
The graph
Rapid solution [src]
x1 = 5
$$x_{1} = 5$$
x1 = 5
Sum and product of roots [src]
sum
5
$$5$$
=
5
$$5$$
product
5
$$5$$
=
5
$$5$$
5
Numerical answer [src]
x1 = 5.0
x1 = 5.0