What is the answer to sqrt(x+4)-sqrt(6-x)=2 ?

The answer to sqrt(x+4)-sqrt(6-x)=2 is x=5

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sqrt(x+4)-sqrt(6-x)=2

x + 4 - 6 - x = 2

x = 5

Solution steps

x + 4 - 6 - x = 2

Remove square roots

4 x^{2} - 24 x + 36 = 96 - 16 x

Solve

4 x^{2} - 24 x + 36 = 96 - 16 x : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

True

, x = - 3

False

The solution is

x = 5

3 x + 1 = 3 x - 5

- 3 + 3 x = x

6 v + 15 = v + 4

2 x = 6

x - 4 = 3

What is the answer to sqrt(x+4)-sqrt(6-x)=2 ?
The answer to sqrt(x+4)-sqrt(6-x)=2 is x=5
Solve for x: sqrt(x+4)-sqrt(6-x)=2
The solution is x=5