What is the answer to sqrt(2x-3)+2=x ?

The answer to sqrt(2x-3)+2=x is x=3+sqrt(2)

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sqrt(2x-3)+2=x

2 x - 3 + 2 = x

x = 3 + 2

Decimal Notation

x = 4.41421 \dots

Solution steps

2 x - 3 + 2 = x

Remove square roots

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

Solve

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

x = 3 + 2, x = 3 - 2

Verify Solutions:

x = 3 + 2

True

, x = 3 - 2

False

The solution is

x = 3 + 2

3 x + 1 = 7

7 x + 30 = 3 x - 20

x + 4 = x

x + 4 = 5

a = b + x

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