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

The answer to sqrt(5x-4)-2=sqrt(x) is x=4

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sqrt(5x-4)-2=sqrt(x)

5 x - 4 - 2 = x

x = 4

Solution steps

5 x - 4 - 2 = x

Remove square roots

80 x - 64 = 16 x^{2}

Solve

80 x - 64 = 16 x^{2} : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

False

The solution is

x = 4

1 - x - 1 = x

2 x^{\frac{16}{5}} - 16 x^{\frac{13}{5}} = 0

5 4 x + 3 + 5 = 4

x + 3 x = 12

y, x = y - 2

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