What is the answer to sqrt(4x-4)-sqrt(2-x)=1 ?

The answer to sqrt(4x-4)-sqrt(2-x)=1 is x= 41/25

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sqrt(4x-4)-sqrt(2-x)=1

4 x - 4 - 2 - x = 1

x = \frac{41}{25}

Decimal Notation

x = 1.64

Solution steps

4 x - 4 - 2 - x = 1

Remove square roots

25 x^{2} - 70 x + 49 = 8 - 4 x

Solve

25 x^{2} - 70 x + 49 = 8 - 4 x : x = \frac{41}{25}, x = 1

x = \frac{41}{25}, x = 1

Verify Solutions:

x = \frac{41}{25}

True

, x = 1

False

The solution is

x = \frac{41}{25}

\frac{x}{5} = 2

4 = x - 4

x - 4 - x - 3 = - 1

\frac{x}{4} = 1 + x

2 \cdot 4 \cdot x - 3 = 14

What is the answer to sqrt(4x-4)-sqrt(2-x)=1 ?
The answer to sqrt(4x-4)-sqrt(2-x)=1 is x= 41/25
Solve for x: sqrt(4x-4)-sqrt(2-x)=1
The solution is x= 41/25