What is the answer to sqrt(2x+46)=sqrt(x)+5 ?

The answer to sqrt(2x+46)=sqrt(x)+5 is x=49,x=9

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sqrt(2x+46)=sqrt(x)+5

2 x + 46 = x + 5

x = 49, x = 9

Solution steps

2 x + 46 = x + 5

Remove square roots

x^{2} + 42 x + 441 = 100 x

Solve

x^{2} + 42 x + 441 = 100 x : x = 49, x = 9

x = 49, x = 9

Verify Solutions:

x = 49

True

, x = 9

True

The solutions are

x = 49, x = 9

y - 2 + 2 = 2 y + 3

x = 3 2 x - 9

2 x + 6 - x + 10 = - 1

x^{2} - 1 = 0

z + 2 = 2 z^{2} + 3 z + 7 - 3

What is the answer to sqrt(2x+46)=sqrt(x)+5 ?
The answer to sqrt(2x+46)=sqrt(x)+5 is x=49,x=9
Solve for x: sqrt(2x+46)=sqrt(x)+5
The solution is x=49,x=9