What is the answer to sqrt(2x-1)+sqrt(x-1)=5 ?

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

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sqrt(2x-1)+sqrt(x-1)=5

2 x - 1 + x - 1 = 5

x = 5

Solution steps

2 x - 1 + x - 1 = 5

Remove square roots

x^{2} - 50 x + 625 = 100 x - 100

Solve

x^{2} - 50 x + 625 = 100 x - 100 : x = 145, x = 5

x = 145, x = 5

Verify Solutions:

x = 145

False

, x = 5

True

The solution is

x = 5

x - 3 = 4 - x - 1

x^{\frac{2}{3}} = 125

2 x - 3 = - 2 4 x - 1

5.5 x + 10000 = 3.29 x

50 = 53 Q^{0.18}

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