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

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

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

x - 2 x - 1 = 1 - x

x = 1, x = \frac{1}{2}

Decimal Notation

x = 1, x = 0.5

Solution steps

x - 2 x - 1 = 1 - x

Remove square roots

2 x - 1 = 1 - 4 x + 4 x^{2}

Solve

2 x - 1 = 1 - 4 x + 4 x^{2} : x = 1, x = \frac{1}{2}

x = 1, x = \frac{1}{2}

Verify Solutions:

x = 1

True

, x = \frac{1}{2}

True

The solutions are

x = 1, x = \frac{1}{2}

x^{2} - 5 + x - 2 = 3

y, x y = x - 2 y

x + 9 = x - 1

y, y = x

15 x^{\frac{2}{3}} - 10 x = 0

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