What is the answer to 2x-6-sqrt(x^2)-9=0 ?

The answer to 2x-6-sqrt(x^2)-9=0 is x=15

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2x-6-sqrt(x^2)-9=0

2 x - 6 - x^{2} - 9 = 0

x = 15

Solution steps

2 x - 6 - x^{2} - 9 = 0

Expand

2 x - 6 - x^{2} - 9 : 2 x - x^{2} - 15

2 x - x^{2} - 15 = 0

Remove square roots

x^{2} = 4 x^{2} - 60 x + 225

Solve

x^{2} = 4 x^{2} - 60 x + 225 : x = 15, x = 5

x = 15, x = 5

Verify Solutions:

x = 15

True

, x = 5

False

The solution is

x = 15

(x - x - 1)^{2} = 169

x + 1 + 1 = x + 3

3 - 11 x = x + 9

x^{2} + 2 x + 3 = 0

What is the answer to 2x-6-sqrt(x^2)-9=0 ?
The answer to 2x-6-sqrt(x^2)-9=0 is x=15
Solve for x: 2x-6-sqrt(x^2)-9=0
The solution is x=15