What is the answer to sqrt(2x+31)=sqrt(x)+4 ?

The answer to sqrt(2x+31)=sqrt(x)+4 is x=25,x=9

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sqrt(2x+31)=sqrt(x)+4

2 x + 31 = x + 4

x = 25, x = 9

Solution steps

2 x + 31 = x + 4

Remove square roots

x^{2} + 30 x + 225 = 64 x

Solve

x^{2} + 30 x + 225 = 64 x : x = 25, x = 9

x = 25, x = 9

Verify Solutions:

x = 25

True

, x = 9

True

The solutions are

x = 25, x = 9

3 x + 7 + x + 2 = 1

x = 2 + x - 2

2 x - 7 = 1

x - 5 = 2

9 - x^{2} = 0

What is the answer to sqrt(2x+31)=sqrt(x)+4 ?
The answer to sqrt(2x+31)=sqrt(x)+4 is x=25,x=9
Solve for x: sqrt(2x+31)=sqrt(x)+4
The solution is x=25,x=9