What is the answer to sqrt(3x-5)-sqrt(4-x)=1 ?

The answer to sqrt(3x-5)-sqrt(4-x)=1 is x=3

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sqrt(3x-5)-sqrt(4-x)=1

3 x - 5 - 4 - x = 1

x = 3

Solution steps

3 x - 5 - 4 - x = 1

Remove square roots

16 x^{2} - 80 x + 100 = 16 - 4 x

Solve

16 x^{2} - 80 x + 100 = 16 - 4 x : x = 3, x = \frac{7}{4}

x = 3, x = \frac{7}{4}

Verify Solutions:

x = 3

True

, x = \frac{7}{4}

False

The solution is

x = 3

2 x + 5 - x + 2 = 1

110 - n = n

x - 3 = 2 x + 2

4 n = n

x^{2} - 9 - 3 = 0

What is the answer to sqrt(3x-5)-sqrt(4-x)=1 ?
The answer to sqrt(3x-5)-sqrt(4-x)=1 is x=3
Solve for x: sqrt(3x-5)-sqrt(4-x)=1
The solution is x=3