What is the answer to sqrt(x-3)-2sqrt(x^2-9)=0 ?

The answer to sqrt(x-3)-2sqrt(x^2-9)=0 is x=3

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sqrt(x-3)-2sqrt(x^2-9)=0

x - 3 - 2 x^{2} - 9 = 0

x = 3

Solution steps

x - 3 - 2 x^{2} - 9 = 0

Remove square roots

x - 3 = 4 x^{2} - 36

Solve

x - 3 = 4 x^{2} - 36 : x = 3, x = - \frac{11}{4}

x = 3, x = - \frac{11}{4}

Verify Solutions:

x = 3

True

, x = - \frac{11}{4}

False

The solution is

x = 3

2 x + 6 - x - 4 = 3

x = - 2 x + 3

4 x + 1 = x + 5

4 = x + 4

3 x - 11 = x - 3

What is the answer to sqrt(x-3)-2sqrt(x^2-9)=0 ?
The answer to sqrt(x-3)-2sqrt(x^2-9)=0 is x=3
Solve for x: sqrt(x-3)-2sqrt(x^2-9)=0
The solution is x=3