What is the answer to sqrt(2x+5)=2sqrt(2x)+1 ?

The answer to sqrt(2x+5)=2sqrt(2x)+1 is x= 2/9

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sqrt(2x+5)=2sqrt(2x)+1

2 x + 5 = 2 2 x + 1

x = \frac{2}{9}

Decimal

x = 0.22222 \dots

Solution steps

2 x + 5 = 2 2 x + 1

Remove square roots

36 x^{2} - 48 x + 16 = 32 x

Solve

36 x^{2} - 48 x + 16 = 32 x : x = 2, x = \frac{2}{9}

x = 2, x = \frac{2}{9}

Verify Solutions:

x = 2

False

, x = \frac{2}{9}

True

The solution is

x = \frac{2}{9}

3 x^{\frac{1}{2}} = 15

x + 3 + 5 = 12

x + 8 + 4 = x

y, x = y - 1

1 - \frac{3}{x + 2} = 0

What is the answer to sqrt(2x+5)=2sqrt(2x)+1 ?
The answer to sqrt(2x+5)=2sqrt(2x)+1 is x= 2/9
Solve for x: sqrt(2x+5)=2sqrt(2x)+1
The solution is x= 2/9