What is the answer to sqrt(x^2-2)-x=3 ?

The answer to sqrt(x^2-2)-x=3 is x=-11/6

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sqrt(x^2-2)-x=3

x^{2} - 2 - x = 3

x = - \frac{11}{6}

Decimal Notation

x = - 1.83333 \dots

Solution steps

x^{2} - 2 - x = 3

Remove square roots

x^{2} - 2 = 9 + 6 x + x^{2}

Solve

x^{2} - 2 = 9 + 6 x + x^{2} : x = - \frac{11}{6}

x = - \frac{11}{6}

Verify Solutions:

x = - \frac{11}{6}

True

The solution is

x = - \frac{11}{6}

x - 6 x = - 9

2 x^{2} - 6 x + 2 = x^{2} - 3 x

2 x + 11 = 3 x + 7

(\frac{x}{5 + 5})^{\frac{3}{2}} = 125

w - 5 = - 8 w + 73

What is the answer to sqrt(x^2-2)-x=3 ?
The answer to sqrt(x^2-2)-x=3 is x=-11/6
Solve for x: sqrt(x^2-2)-x=3
The solution is x=-11/6