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Popular >

sqrt(2x-1)=x-2

Solution

2 x - 1 = x - 2

Solution

x = 5

Solution steps

2 x - 1 = x - 2

Square both sides:

2 x - 1 = x^{2} - 4 x + 4

2 x - 1 = x^{2} - 4 x + 4

Solve

2 x - 1 = x^{2} - 4 x + 4 : x = 5, x = 1

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

False

The solution is

x = 5

Popular Examples

sqrt(z^2+8)=1-2z

z^{2} + 8 = 1 - 2 z

sqrt(x^2-4x+4)=0

x^{2} - 4 x + 4 = 0

9 - 8 x = x

sqrt(6x+12)-sqrt(4x+9)=1

6 x + 12 - 4 x + 9 = 1

sqrt(x-3)+1=sqrt(x)

x - 3 + 1 = x

Frequently Asked Questions (FAQ)

What is the answer to sqrt(2x-1)=x-2 ?
The answer to sqrt(2x-1)=x-2 is x=5
Solve for x: sqrt(2x-1)=x-2
The solution is x=5