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

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

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

2 x - 1 - 3 = - x + 3

x = 1

Solution steps

2 x - 1 - 3 = - x + 3

Remove square roots

72 x - 36 = x^{2} + 10 x + 25

Solve

72 x - 36 = x^{2} + 10 x + 25 : x = 61, x = 1

x = 61, x = 1

Verify Solutions:

x = 61

False

, x = 1

True

The solution is

x = 1

x = x + 13 - 1

x + 1 = \frac{x ^{2}}{4}

x^{2} + x - 2 = 2

(x - 1)^{2} = x - 1

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