What is the answer to sqrt(x+3)-sqrt(x-2)=1 ?

The answer to sqrt(x+3)-sqrt(x-2)=1 is x=6

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sqrt(x+3)-sqrt(x-2)=1

x + 3 - x - 2 = 1

x = 6

Solution steps

x + 3 - x - 2 = 1

Remove square roots

16 = 4 x - 8

Solve

16 = 4 x - 8 : x = 6

x = 6

Verify Solutions:

x = 6

True

The solution is

x = 6

x^{2.5} = 20 x^{1.25}

(x - 4) - 5 (x - 4)^{\frac{1}{2}} = 6

5 x + 1 = x + 1

5 x + 1 = x - 4

7 - 2 x = x - 2

What is the answer to sqrt(x+3)-sqrt(x-2)=1 ?
The answer to sqrt(x+3)-sqrt(x-2)=1 is x=6
Solve for x: sqrt(x+3)-sqrt(x-2)=1
The solution is x=6