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

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

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

2 x + 3 - x - 2 = 2

x = 11, x = 3

Solution steps

2 x + 3 - x - 2 = 2

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

4 x + 1 - x - 2 = 3

2 x - 1 + x + 4 = 6

x^{\frac{3}{4}} = 8

x^{\frac{3}{2}} = 27

2 x = x - 4

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