What is the answer to sqrt(2x-1)-sqrt(x+3)+1=0 ?

The answer to sqrt(2x-1)-sqrt(x+3)+1=0 is x=1

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sqrt(2x-1)-sqrt(x+3)+1=0

2 x - 1 - x + 3 + 1 = 0

x = 1

Solution steps

2 x - 1 - x + 3 + 1 = 0

Remove square roots

x^{2} - 10 x + 25 = 4 x + 12

Solve

x^{2} - 10 x + 25 = 4 x + 12 : x = 13, x = 1

x = 13, x = 1

Verify Solutions:

x = 13

False

, x = 1

True

The solution is

x = 1

a, r = \frac{a}{3}

x = \frac{32}{x ^{2}}

- 3 16 x + 14 = - 10

4 x + 13 = 2 x - 1

4 x - 1 = 2 - 2 x

What is the answer to sqrt(2x-1)-sqrt(x+3)+1=0 ?
The answer to sqrt(2x-1)-sqrt(x+3)+1=0 is x=1
Solve for x: sqrt(2x-1)-sqrt(x+3)+1=0
The solution is x=1