What is the answer to 2x=sqrt(4x^2-5x+50) ?

The answer to 2x=sqrt(4x^2-5x+50) is x=10

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2x=sqrt(4x^2-5x+50)

2 x = 4 x^{2} - 5 x + 50

x = 10

Solution steps

2 x = 4 x^{2} - 5 x + 50

Square both sides:

4 x^{2} = 4 x^{2} - 5 x + 50

4 x^{2} = 4 x^{2} - 5 x + 50

Solve

4 x^{2} = 4 x^{2} - 5 x + 50 : x = 10

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

3 x + 1 - x + 4 = 1

2 x + 5 + 4 = x

x - 5 x + 6 = 0

2 x + x + 1 = 8

2 x + 3 - x + 1 = 1

What is the answer to 2x=sqrt(4x^2-5x+50) ?
The answer to 2x=sqrt(4x^2-5x+50) is x=10
Solve for x: 2x=sqrt(4x^2-5x+50)
The solution is x=10