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

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

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

2 x + 1 - 2 x + 3 = 1

x = 3

Solution steps

2 x + 1 - 2 x + 3 = 1

Remove square roots

4 x^{2} = 8 x + 12

Solve

4 x^{2} = 8 x + 12 : x = 3, x = - 1

x = 3, x = - 1

Verify Solutions:

x = 3

True

, x = - 1

False

The solution is

x = 3

x + 4 = 3

(x + 5)^{\frac{3}{2}} = 8

p^{- \frac{5}{2}} = \frac{1}{32}

s = 4 + s + 2

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