What is the answer to sqrt(2x-1)+sqrt(x+4)=6 ?

The answer to sqrt(2x-1)+sqrt(x+4)=6 is x=5

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sqrt(2x-1)+sqrt(x+4)=6

2 x - 1 + x + 4 = 6

x = 5

Solution steps

2 x - 1 + x + 4 = 6

Remove square roots

x^{2} - 82 x + 1681 = 144 x + 576

Solve

x^{2} - 82 x + 1681 = 144 x + 576 : x = 221, x = 5

x = 221, x = 5

Verify Solutions:

x = 221

False

, x = 5

True

The solution is

x = 5

x^{\frac{3}{4}} = 8

x^{\frac{3}{2}} = 27

2 x = x - 4

x = 2

15 - 2 x = x

What is the answer to sqrt(2x-1)+sqrt(x+4)=6 ?
The answer to sqrt(2x-1)+sqrt(x+4)=6 is x=5
Solve for x: sqrt(2x-1)+sqrt(x+4)=6
The solution is x=5