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

The answer to sqrt(x+2)+2=sqrt(2x+3) is x=23

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

x + 2 + 2 = 2 x + 3

x = 23

Solution steps

x + 2 + 2 = 2 x + 3

Remove square roots

16 x + 32 = x^{2} - 6 x + 9

Solve

16 x + 32 = x^{2} - 6 x + 9 : x = 23, x = - 1

x = 23, x = - 1

Verify Solutions:

x = 23

True

, x = - 1

False

The solution is

x = 23

x^{2} + 9 = 3 - 2 x

x, x + 5 - 3 = 4

3 x + 4 = 8 x + 4

150 = \frac{76}{x}

x = - \frac{1}{64} x

What is the answer to sqrt(x+2)+2=sqrt(2x+3) ?
The answer to sqrt(x+2)+2=sqrt(2x+3) is x=23
Solve for x: sqrt(x+2)+2=sqrt(2x+3)
The solution is x=23