What is the answer to sqrt(9x^2+5)=3x+sqrt(5) ?

The answer to sqrt(9x^2+5)=3x+sqrt(5) is x=0

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sqrt(9x^2+5)=3x+sqrt(5)

9 x^{2} + 5 = 3 x + 5

x = 0

Solution steps

9 x^{2} + 5 = 3 x + 5

Square both sides:

9 x^{2} + 5 = 9 x^{2} + 65 x + 5

9 x^{2} + 5 = 9 x^{2} + 65 x + 5

Solve

9 x^{2} + 5 = 9 x^{2} + 65 x + 5 : x = 0

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

x + 5 - 2 x + 8 = 0

x + 16 - 4 x = 4 - 2 x

x^{2} + 8 - 3 = 0

x^{2} + 2^{2} = 6 x + 1

x = 3 x

What is the answer to sqrt(9x^2+5)=3x+sqrt(5) ?
The answer to sqrt(9x^2+5)=3x+sqrt(5) is x=0
Solve for x: sqrt(9x^2+5)=3x+sqrt(5)
The solution is x=0