What is the answer to sqrt(x+4)+sqrt(2x-9)=4 ?

The answer to sqrt(x+4)+sqrt(2x-9)=4 is x=5

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sqrt(x+4)+sqrt(2x-9)=4

x + 4 + 2 x - 9 = 4

x = 5

Solution steps

x + 4 + 2 x - 9 = 4

Remove square roots

x^{2} + 6 x + 9 = 128 x - 576

Solve

x^{2} + 6 x + 9 = 128 x - 576 : x = 117, x = 5

x = 117, x = 5

Verify Solutions:

x = 117

False

, x = 5

True

The solution is

x = 5

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What is the answer to sqrt(x+4)+sqrt(2x-9)=4 ?
The answer to sqrt(x+4)+sqrt(2x-9)=4 is x=5
Solve for x: sqrt(x+4)+sqrt(2x-9)=4
The solution is x=5