If √x+√x-√1-x=1,then x is equal to
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27
√x +√(x -√(x-1)) = 1
√(x -√(x-1)) = 1-√x
Square both sides
x - √(x-1) = 1-2√x+x
- √(x-1) = 1-2√x
Square both sides
x-1 = 1-4√x+4x
-5x = -4√x
Square both sides
25x² = 16x
x = 16/25
√(x -√(x-1)) = 1-√x
Square both sides
x - √(x-1) = 1-2√x+x
- √(x-1) = 1-2√x
Square both sides
x-1 = 1-4√x+4x
-5x = -4√x
Square both sides
25x² = 16x
x = 16/25
Answered by
10
Step-by-step explanation:
√x +√(x -√(x-1)) = 1
√(x -√(x-1)) = 1-√x
Square both sides
x - √(x-1) = 1-2√x+x
- √(x-1) = 1-2√x
Square both sides
x-1 = 1-4√x+4x
-5x = -4√x
Square both sides
25x² = 16x
x = 16/25
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