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

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

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

2 x + 3 = 2 + x + 2

x = 23

Solution steps

2 x + 3 = 2 + x + 2

Remove square roots

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

Solve

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

x = 23, x = - 1

Verify Solutions:

x = 23

True

, x = - 1

False

The solution is

x = 23

p + 3 = 11 - p

2 x + 1 = 3 x - 3

4 = 16.5 \cdot x^{- 1.38}

4 x^{\frac{3}{2}} - 28 = 0

75 = X^{2} + X^{2}

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