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

9 x + 10 = x

3 x = 2

x^{\frac{1}{3}} = 10

3 x = 7

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