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

The answer to sqrt(x^2-5x)=x-4 is x= 16/3

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

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

x = \frac{16}{3}

Decimal Notation

x = 5.33333 \dots

Solution steps

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

Square both sides:

x^{2} - 5 x = x^{2} - 8 x + 16

x^{2} - 5 x = x^{2} - 8 x + 16

Solve

x^{2} - 5 x = x^{2} - 8 x + 16 : x = \frac{16}{3}

x = \frac{16}{3}

Verify Solutions:

x = \frac{16}{3}

True

The solution is

x = \frac{16}{3}

2 x^{\frac{- 1}{3}} - 2 = 0

3 x + 2 = 2 x + 9

2 x + 3 + 4 - x = 4

z - 8 = 3 z - 5

2 + x = 0

What is the answer to sqrt(x^2-5x)=x-4 ?
The answer to sqrt(x^2-5x)=x-4 is x= 16/3
Solve for x: sqrt(x^2-5x)=x-4
The solution is x= 16/3