What is the answer to sqrt(x-4)+sqrt(x+4)-2sqrt(x-1)=0 ?

The answer to sqrt(x-4)+sqrt(x+4)-2sqrt(x-1)=0 is x=5

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sqrt(x-4)+sqrt(x+4)-2sqrt(x-1)=0

x - 4 + x + 4 - 2 x - 1 = 0

x = 5

Solution steps

x - 4 + x + 4 - 2 x - 1 = 0

Remove square roots

4 x^{2} - 64 = 4 x^{2} - 16 x + 16

Solve

4 x^{2} - 64 = 4 x^{2} - 16 x + 16 : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

x - 3 + x + 5 = \frac{16}{x}

5 x + 44 + 3 = 11

x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} - 3 = 0

6 x - \frac{3}{1 - x ^{2}} = 0

3 x + 4 - x - 4 = 2 x

What is the answer to sqrt(x-4)+sqrt(x+4)-2sqrt(x-1)=0 ?
The answer to sqrt(x-4)+sqrt(x+4)-2sqrt(x-1)=0 is x=5
Solve for x: sqrt(x-4)+sqrt(x+4)-2sqrt(x-1)=0
The solution is x=5