What is the answer to sqrt(x^2-10x+8)=2x ?

The answer to sqrt(x^2-10x+8)=2x is x= 2/3

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sqrt(x^2-10x+8)=2x

x^{2} - 10 x + 8 = 2 x

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

x^{2} - 10 x + 8 = 2 x

Square both sides:

x^{2} - 10 x + 8 = 4 x^{2}

x^{2} - 10 x + 8 = 4 x^{2}

Solve

x^{2} - 10 x + 8 = 4 x^{2} : x = - 4, x = \frac{2}{3}

x = - 4, x = \frac{2}{3}

Verify Solutions:

x = - 4

False

, x = \frac{2}{3}

True

The solution is

x = \frac{2}{3}

4 - 11 x - x + 2 = 0

x + 3 = - 1

4 x + 5 - 10 = - 7

\frac{- 2 x ^{2} + 25}{25 - x ^{2}} = 0

7 x - 54 - x = - 6

What is the answer to sqrt(x^2-10x+8)=2x ?
The answer to sqrt(x^2-10x+8)=2x is x= 2/3
Solve for x: sqrt(x^2-10x+8)=2x
The solution is x= 2/3