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Popular >

x-2=sqrt(2x-1)

Solution

x - 2 = 2 x - 1

Solution

x = 5

Solution steps

x - 2 = 2 x - 1

Square both sides:

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

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

Solve

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

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

False

The solution is

x = 5

Popular Examples

sqrt(x^2-x-9)=x+4

x^{2} - x - 9 = x + 4

sqrt(6\sqrt{x)+17}=sqrt(x)+3

6 x + 17 = x + 3

sqrt(28-9x)=x-4

28 - 9 x = x - 4

10=sqrt((-3-3)^2+(6-y)^2)

10 = (- 3 - 3)^{2} + (6 - y)^{2}

20=sqrt(w^2+16^2)

20 = w^{2} + 1 6^{2}

Frequently Asked Questions (FAQ)

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