What is the answer to sqrt(3x-3)-sqrt(8-x)=1 ?

The answer to sqrt(3x-3)-sqrt(8-x)=1 is x=4

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sqrt(3x-3)-sqrt(8-x)=1

3 x - 3 - 8 - x = 1

x = 4

Solution steps

3 x - 3 - 8 - x = 1

Remove square roots

16 x^{2} - 96 x + 144 = 32 - 4 x

Solve

16 x^{2} - 96 x + 144 = 32 - 4 x : x = 4, x = \frac{7}{4}

x = 4, x = \frac{7}{4}

Verify Solutions:

x = 4

True

, x = \frac{7}{4}

False

The solution is

x = 4

x + 12 - x - 9 = 3

x = 20

x = 25

x - 2 + 8 = x

What is the answer to sqrt(3x-3)-sqrt(8-x)=1 ?
The answer to sqrt(3x-3)-sqrt(8-x)=1 is x=4
Solve for x: sqrt(3x-3)-sqrt(8-x)=1
The solution is x=4