What is the answer to sqrt(x-2)+sqrt(x+6)=4 ?

The answer to sqrt(x-2)+sqrt(x+6)=4 is x=3

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sqrt(x-2)+sqrt(x+6)=4

x - 2 + x + 6 = 4

x = 3

Solution steps

x - 2 + x + 6 = 4

Remove square roots

576 = 64 x + 384

Solve

576 = 64 x + 384 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

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

x + 64 + 8 = x

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

x + 13 - x + 1 = 2

2 x + 80 + 17 = 25

What is the answer to sqrt(x-2)+sqrt(x+6)=4 ?
The answer to sqrt(x-2)+sqrt(x+6)=4 is x=3
Solve for x: sqrt(x-2)+sqrt(x+6)=4
The solution is x=3