What is the answer to sqrt(2-x)-sqrt(3x+1)=-1 ?

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

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sqrt(2-x)-sqrt(3x+1)=-1

2 - x - 3 x + 1 = - 1

x = 1

Solution steps

2 - x - 3 x + 1 = - 1

Remove square roots

16 x^{2} = 12 x + 4

Solve

16 x^{2} = 12 x + 4 : x = 1, x = - \frac{1}{4}

x = 1, x = - \frac{1}{4}

Verify Solutions:

x = 1

True

, x = - \frac{1}{4}

False

The solution is

x = 1

- 6 - x + x = 0

x + - x = 4

x + 3 = x + 9

2 x + 5 - 2 x = 3

k^{2} - 2 k + 1 - 1 = 2 k

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