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

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

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

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

x = 5

Solution steps

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

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 + 12 = x + 2

10 x + 30 = x + 3

\frac{6}{4 x - 54} = \frac{1}{7}

3 x + 84 + 13 = 22

x - 11 + x + 4 = 5

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