What is the answer to sqrt(2x+41)=sqrt(x)+5 ?

The answer to sqrt(2x+41)=sqrt(x)+5 is x=64,x=4

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sqrt(2x+41)=sqrt(x)+5

2 x + 41 = x + 5

x = 64, x = 4

Solution steps

2 x + 41 = x + 5

Remove square roots

x^{2} + 32 x + 256 = 100 x

Solve

x^{2} + 32 x + 256 = 100 x : x = 64, x = 4

x = 64, x = 4

Verify Solutions:

x = 64

True

, x = 4

True

The solutions are

x = 64, x = 4

(x - 4)^{\frac{2}{3}} = 25

x = 6 - x

x + 4 - 2 = x

x = 10 x - 24

x = 20 - x

What is the answer to sqrt(2x+41)=sqrt(x)+5 ?
The answer to sqrt(2x+41)=sqrt(x)+5 is x=64,x=4
Solve for x: sqrt(2x+41)=sqrt(x)+5
The solution is x=64,x=4