What is the answer to sqrt(2x-2)-sqrt(7-2x)=1 ?

The answer to sqrt(2x-2)-sqrt(7-2x)=1 is x=3

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sqrt(2x-2)-sqrt(7-2x)=1

2 x - 2 - 7 - 2 x = 1

x = 3

Solution steps

2 x - 2 - 7 - 2 x = 1

Remove square roots

16 x^{2} - 80 x + 100 = 28 - 8 x

Solve

16 x^{2} - 80 x + 100 = 28 - 8 x : x = 3, x = \frac{3}{2}

x = 3, x = \frac{3}{2}

Verify Solutions:

x = 3

True

, x = \frac{3}{2}

False

The solution is

x = 3

7 x - 34 + 14 = 15

x + 12 = x + 6

9 x + 18 = x + 2

5 x + 39 = x + 9

x x x = 7

What is the answer to sqrt(2x-2)-sqrt(7-2x)=1 ?
The answer to sqrt(2x-2)-sqrt(7-2x)=1 is x=3
Solve for x: sqrt(2x-2)-sqrt(7-2x)=1
The solution is x=3