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

The answer to sqrt(2x+7)=sqrt(x)+2 is x=9,x=1

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

2 x + 7 = x + 2

x = 9, x = 1

Solution steps

2 x + 7 = x + 2

Remove square roots

x^{2} + 6 x + 9 = 16 x

Solve

x^{2} + 6 x + 9 = 16 x : x = 9, x = 1

x = 9, x = 1

Verify Solutions:

x = 9

True

, x = 1

True

The solutions are

x = 9, x = 1

4 - x^{2} = 0

x = 3

16 - x^{2} = 0

x + 10 = x - 2

x - 4 = 2 - x

What is the answer to sqrt(2x+7)=sqrt(x)+2 ?
The answer to sqrt(2x+7)=sqrt(x)+2 is x=9,x=1
Solve for x: sqrt(2x+7)=sqrt(x)+2
The solution is x=9,x=1