What is the answer to sqrt(2x+3)-sqrt(x-2)-2=0 ?

The answer to sqrt(2x+3)-sqrt(x-2)-2=0 is x=11,x=3

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sqrt(2x+3)-sqrt(x-2)-2=0

2 x + 3 - x - 2 - 2 = 0

x = 11, x = 3

Solution steps

2 x + 3 - x - 2 - 2 = 0

Remove square roots

x^{2} + 2 x + 1 = 16 x - 32

Solve

x^{2} + 2 x + 1 = 16 x - 32 : x = 11, x = 3

x = 11, x = 3

Verify Solutions:

x = 11

True

, x = 3

True

The solutions are

x = 11, x = 3

y, x = y^{\frac{3}{5}}

x^{2} + 14 x + 49 + 7 = - x

x^{2} - 2 x + 1 = x^{2} - 3

8 = 3 x - 2

- 3 - 4 x - - 2 - 2 x = 1

What is the answer to sqrt(2x+3)-sqrt(x-2)-2=0 ?
The answer to sqrt(2x+3)-sqrt(x-2)-2=0 is x=11,x=3
Solve for x: sqrt(2x+3)-sqrt(x-2)-2=0
The solution is x=11,x=3