What is the answer to sqrt(x+3)-sqrt(7-x)=2 ?

The answer to sqrt(x+3)-sqrt(7-x)=2 is x=6

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sqrt(x+3)-sqrt(7-x)=2

x + 3 - 7 - x = 2

x = 6

Solution steps

x + 3 - 7 - x = 2

Remove square roots

4 x^{2} - 32 x + 64 = 112 - 16 x

Solve

4 x^{2} - 32 x + 64 = 112 - 16 x : x = 6, x = - 2

x = 6, x = - 2

Verify Solutions:

x = 6

True

, x = - 2

False

The solution is

x = 6

3 x + 7 = x + 9

3 x - 4 = 2

3 3 x - 1 = - 5

x + 3 = 9 x + 4

(x - 3)^{2} = 9

What is the answer to sqrt(x+3)-sqrt(7-x)=2 ?
The answer to sqrt(x+3)-sqrt(7-x)=2 is x=6
Solve for x: sqrt(x+3)-sqrt(7-x)=2
The solution is x=6