What is the answer to sqrt(2x+\sqrt{4x-3)}=3 ?

The answer to sqrt(2x+\sqrt{4x-3)}=3 is x=3

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sqrt(2x+\sqrt{4x-3)}=3

2 x + 4 x - 3 = 3

x = 3

Solution steps

2 x + 4 x - 3 = 3

Remove square roots

4 x - 3 = 81 - 36 x + 4 x^{2}

Solve

4 x - 3 = 81 - 36 x + 4 x^{2} : x = 7, x = 3

x = 7, x = 3

Verify Solutions:

x = 7

False

, x = 3

True

The solution is

x = 3

2 x + 1 = 3

x + 4 x + 1 = 5

x + 1 - 3 x = 1

y + y + 2 = 3

x + 12 = x

What is the answer to sqrt(2x+\sqrt{4x-3)}=3 ?
The answer to sqrt(2x+\sqrt{4x-3)}=3 is x=3
Solve for x: sqrt(2x+\sqrt{4x-3)}=3
The solution is x=3