What is the answer to sqrt(x-1)+sqrt(2-x)=1 ?

The answer to sqrt(x-1)+sqrt(2-x)=1 is x=2,x=1

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

x - 1 + 2 - x = 1

x = 2, x = 1

Solution steps

x - 1 + 2 - x = 1

Remove square roots

4 x^{2} - 16 x + 16 = 8 - 4 x

Solve

4 x^{2} - 16 x + 16 = 8 - 4 x : x = 2, x = 1

x = 2, x = 1

Verify Solutions:

x = 2

True

, x = 1

True

The solutions are

x = 2, x = 1

21 + 4 x = x

x - 1 = 5 - x

x - 5 = x - 3

1 - x = (x - 1)^{2}

2 (x + 1) = 3 - x + 2

What is the answer to sqrt(x-1)+sqrt(2-x)=1 ?
The answer to sqrt(x-1)+sqrt(2-x)=1 is x=2,x=1
Solve for x: sqrt(x-1)+sqrt(2-x)=1
The solution is x=2,x=1