What is the answer to sqrt(2x+49)=sqrt(x)+5 ?

The answer to sqrt(2x+49)=sqrt(x)+5 is x=36,x=16

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sqrt(2x+49)=sqrt(x)+5

2 x + 49 = x + 5

x = 36, x = 16

Solution steps

2 x + 49 = x + 5

Remove square roots

x^{2} + 48 x + 576 = 100 x

Solve

x^{2} + 48 x + 576 = 100 x : x = 36, x = 16

x = 36, x = 16

Verify Solutions:

x = 36

True

, x = 16

True

The solutions are

x = 36, x = 16

x - 1 - x + x = 1

x + 7 = - x^{2} + 5

x + 1 + x + 4 = 3

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

7 x = 13 x

What is the answer to sqrt(2x+49)=sqrt(x)+5 ?
The answer to sqrt(2x+49)=sqrt(x)+5 is x=36,x=16
Solve for x: sqrt(2x+49)=sqrt(x)+5
The solution is x=36,x=16