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

The answer to sqrt(3x+4)-sqrt(1-x)=1 is x=0

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

3 x + 4 - 1 - x = 1

x = 0

Solution steps

3 x + 4 - 1 - x = 1

Remove square roots

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

Solve

16 x^{2} + 16 x + 4 = 4 - 4 x : x = 0, x = - \frac{5}{4}

x = 0, x = - \frac{5}{4}

Verify Solutions:

x = 0

True

, x = - \frac{5}{4}

False

The solution is

x = 0

x + 5 = - 1

3 1 - x = x - 1

5 x - 11 - 5 = - 3

8 x + 52 - 15 = - 13

8 x + 65 = x + 10

What is the answer to sqrt(3x+4)-sqrt(1-x)=1 ?
The answer to sqrt(3x+4)-sqrt(1-x)=1 is x=0
Solve for x: sqrt(3x+4)-sqrt(1-x)=1
The solution is x=0