What is the answer to sqrt(x^2)-x-2=x+6 ?

The answer to sqrt(x^2)-x-2=x+6 is x=-8/3

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sqrt(x^2)-x-2=x+6

x^{2} - x - 2 = x + 6

x = - \frac{8}{3}

Decimal Notation

x = - 2.66666 \dots

Solution steps

x^{2} - x - 2 = x + 6

Remove square roots

x^{2} = 4 x^{2} + 32 x + 64

Solve

x^{2} = 4 x^{2} + 32 x + 64 : x = - \frac{8}{3}, x = - 8

x = - \frac{8}{3}, x = - 8

Verify Solutions:

x = - \frac{8}{3}

True

, x = - 8

False

The solution is

x = - \frac{8}{3}

(3 x - 1)^{\frac{3}{2}} = 8

(x - 6)^{\frac{5}{3}} = 32

x - 3 x - 8 = 6

2 = 2 x + 1

x^{- \frac{3}{2}} = \frac{1}{729}

What is the answer to sqrt(x^2)-x-2=x+6 ?
The answer to sqrt(x^2)-x-2=x+6 is x=-8/3
Solve for x: sqrt(x^2)-x-2=x+6
The solution is x=-8/3