What is the answer to sqrt(2x+6)-sqrt(x+10)=1 ?

The answer to sqrt(2x+6)-sqrt(x+10)=1 is x=15

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sqrt(2x+6)-sqrt(x+10)=1

2 x + 6 - x + 10 = 1

x = 15

Solution steps

2 x + 6 - x + 10 = 1

Remove square roots

x^{2} - 10 x + 25 = 4 x + 40

Solve

x^{2} - 10 x + 25 = 4 x + 40 : x = 15, x = - 1

x = 15, x = - 1

Verify Solutions:

x = 15

True

, x = - 1

False

The solution is

x = 15

6 x + 1 - x = 3

2 x + 6 - x + 4 = - 1

x + 15 = x - 5

2 x^{\frac{5}{3}} - 18 x = 0

x^{\frac{2}{3}} = x - 4

What is the answer to sqrt(2x+6)-sqrt(x+10)=1 ?
The answer to sqrt(2x+6)-sqrt(x+10)=1 is x=15
Solve for x: sqrt(2x+6)-sqrt(x+10)=1
The solution is x=15