What is the answer to sqrt(2x+6)-sqrt(x-4)=3 ?

The answer to sqrt(2x+6)-sqrt(x-4)=3 is x=29,x=5

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sqrt(2x+6)-sqrt(x-4)=3

2 x + 6 - x - 4 = 3

x = 29, x = 5

Solution steps

2 x + 6 - x - 4 = 3

Remove square roots

x^{2} + 2 x + 1 = 36 x - 144

Solve

x^{2} + 2 x + 1 = 36 x - 144 : x = 29, x = 5

x = 29, x = 5

Verify Solutions:

x = 29

True

, x = 5

True

The solutions are

x = 29, x = 5

x = - 2 x + 3

4 x + 1 = x + 5

4 = x + 4

3 x - 11 = x - 3

\frac{2}{3} x^{\frac{- 1}{3}} = 0

What is the answer to sqrt(2x+6)-sqrt(x-4)=3 ?
The answer to sqrt(2x+6)-sqrt(x-4)=3 is x=29,x=5
Solve for x: sqrt(2x+6)-sqrt(x-4)=3
The solution is x=29,x=5