What is the answer to sqrt(2x-1)+sqrt(2x+1)=3 ?

The answer to sqrt(2x-1)+sqrt(2x+1)=3 is x= 85/72

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sqrt(2x-1)+sqrt(2x+1)=3

2 x - 1 + 2 x + 1 = 3

x = \frac{85}{72}

Decimal Notation

x = 1.18055 \dots

Solution steps

2 x - 1 + 2 x + 1 = 3

Remove square roots

121 = 72 x + 36

Solve

121 = 72 x + 36 : x = \frac{85}{72}

x = \frac{85}{72}

Verify Solutions:

x = \frac{85}{72}

True

The solution is

x = \frac{85}{72}

x - 2 = 9

5 x + 5 = 0

x = \frac{5}{2}

x + x - 1 = 3

What is the answer to sqrt(2x-1)+sqrt(2x+1)=3 ?
The answer to sqrt(2x-1)+sqrt(2x+1)=3 is x= 85/72
Solve for x: sqrt(2x-1)+sqrt(2x+1)=3
The solution is x= 85/72