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

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

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

2 x + 3 - x + 2 = 2

x = 23

Solution steps

2 x + 3 - x + 2 = 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

x = (12 + 4 x)^{\frac{1}{2}}

a, a + b = 2009

x + 10 - 1 = - 3

5 x - 3 = 12

x + 5 + 4 = x + 3

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